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Boyan Zlatanov Page

Curriculum Vitae

Boyan Georgiev Zlatanov

Birthdate: January 29 1972
Birthplace: Plovdiv, Bulgaria
Address: Faculty of Mathematics and Informatics
  University of Plovdiv,
  24 "Tzar Assen str.,
  4000 Plovdiv, Bulgaria
tel.: (++359) 32957257,
  (++359) 32595602,
  (++359) 898477827
e-mail: bobbyz@pu.acad.bg, bzlatanov@gmail.com

Educational History:

Secondary: 1991 English Language School “Georgi Kirkov” Plovdiv
High Education:MSc: 1996 Sofia University “St. Kliment Ohridski",
  Faculty of Mathematics and Informatics
Qualifcation: Mathematics
Specialty: Mathematical Analysis
Second Specialty: Teacher in Mathematics and Informatics
Ph.D.: 2001 Higher Attestation Committee, Sofia, Bulgaria
"Geometric properties of some classes of Banach spaces with an unconditional basis"
Scientific advisors: Prof. Dr. Stanimir Troyanski and Prof. Dr. Roumen Maleev

Work:

Plovdiv University "Paisii Hilendarski",
Faculty of Mathematics and Informatics,
Department “Real Analysis",
Assistant Professor 01 May 1999.
Associate Professor 23 April 2008.

Teaching experience:

Classes with students from: Mathematics, Informatics, Physics, Chemistry, Software Technologeis and Design 
Solving problem classes:Mathematical Analysis, Fuctional Analysis, Ordinary Differential Equations, Numeric Methods, Operation research.
Lectures:Theory of Value in Market Economy, Mathematical Economics, Introduction in Mathematics of Money, Applied Functional Analysis, Functional Analysis, Application of Mathematics and Informatics in Economy, Algebric Computer Systems for Solving of Mathematical Problems, Fractal Geometry, Econometrics, Real Analysis I, Real Analysis II, Real Analysis III, Real Analysis IV, Differential Calculus of a Function of One Variable with the Help of Algebric Computer Systems, Integral Calculus of a Function of One Variable with the Help of Algebric Computer Systems, Applied Mathematics, Operation Research.

Articles:

    Geometry of Banach spaces:
  1. R. Maleev, G. Nedev, B. Zlatanov. Gateaux differentiability of bump functions in Banach spaces, Journal of Mathematical Analysis and Applications 240(2), (1999) 311-323 Link Author's copy
  2. R. Maleev, B. Zlatanov. Cotype of weighted Orlicz sequence spaces, Compte rendus de l’Academie bulgare des Sciences 53(3), (2000) 9-12. Link Author's copy
  3. B. Zlatanov. LHω-Smooth bump functions in weighted Orlicz sequence spaces, Annuaire de l’Universite de Sofia “st. Kliment Ohridski” Faculte de Mathematiques et Informatique 94, (2000) 85-90. Author's copy
  4. G. Nedev, B. Zlatanov. Gateaux differentiability of bump functions in separable Banach spaces, Plovdiv University “Paissii Hilendarski”, Bulgaria Scientific Works 33, (2001) 95-103. Author's copy
  5. R. Maleev, B. Zlatanov. Smoothness in Musielak-Orlicz sequence spaces, Compte rendus de l’Academie bulgare des Sciences 55(6), (2002) 11-16.Link Author's copy
  6. R. Maleev, B. Zlatanov. Gateaux differentiable norms in Musielak-Orlicz spaces, Mathematica Balkanica 20, (2006) 299-313 Link Author's copy
  7. B. Zlatanov. Schur property and lp isomorphic copies in Musielak-Orlicz sequence spaces, Bulettin of the Australian Mathematical Society 75, (2007) 193-210. Link Author's copy
  8. B. Zlatanov. Upper and lower estimates in weighted Orlicz sequence spaces and Lorentz-Orlicz sequence spaces, Plovdiv University “Paissii Hilendarski”, Bulgaria Scientific Works 35, (2007) 181-203. Link Author's copy
  9. B. Zlatanov. Upper estimates for Gateaux differentiability of bump functions in Orlicz-Lorentz spaces, Journal of Inequalities in Pure and Applied Mathematics 8(4), (2007), Article 113. Link Author's copy
  10. B. Zlatanov. On weak uniform normal structure in weighted Orlicz sequence spaces, Journal of Mathematical Analysis and Applications 341(2), (2008) 1042-1054. Link Author's copy
  11. B. Zlatanov. On equivalent analytic norms in Orlicz-Lorentz sequence spaces, Plovdiv University, Paissii Hilendarski”, Bulgaria Scientific Works 36, (2009) 115-128. Link Author's copy
  12. B. Zlatanov. On Musielak-Orlicz Sequence Spaces with an Asymptotic l dual, Annuaire de l’Universite de Sofia “st. Kliment Ohridski” 99, (2009), 203-214. Author's copy
  13. B. Zlatanov. On another proof of the Schur property in Musielak-Orlicz sequence spaces, Plovdiv University Paissii Hilendarski, Bulgaria Scientific Works 37, (2010) 135-142. Link Author's copy
  14. B. Zlatanov. On a Class of Kothe Sequence Spaces with Normal Structure, Acta Mathematica Scientia31B(2), (2011), 576-590. Link Author's copy
  15. B. Zlatanov. Some expressions for the Riesz angle of weighted Orlicz sequence spaces, Mathematical Sciences (2013) 7:13. doi:10.1186/2251-7456-7-13. Link Author's copy
  16. Fixed Point Theory:
  17. M. Petric, B. Zlatanov. Fixed point theorems of Kannan type for cyclical contractive conditions, Plovdiv University, Faculty of Mathematics and Informatics, REMIA, December (2010), 187-194. Link Author's copy
  18. M. Petric, B. Zlatanov. Best proximity points and fixed points for p-summing maps, Fixed Point Theory and Applications 2012, 2012:86 (2012) doi:10.1186/1687-1812-2012-86. Link Author's copy
  19. S. Karaibyamov, B. Zlatanov. Fixed points for mappings with a contractive iterate at each point, Mathematica Slovaca 64(2), (2014) 455-468. Link Author's copy
  20. M. Ivanov, B.Zlatanov, N. Zlateva. A variational principle and best proximity points, Acta Mathematica Sinica, English Series 31(8), (2015) 1315-1326. Link Author's copy
  21. B. Zlatanov. Best Proximity Points for p-Summing Cyclic Orbital Meir-Keeler Contractions, Nonlinear Analysis: Modelling and Control 20(4), (2015) 528-544. Link Author's copy
  22. B. Zlatanov. Best proximity points in modular function spaces, Arabian Journal of Mathematics 4(3), (2015) 215-227. Link Author's copy
  23. Saravanan Karpagam, B. Zlatanov. A note on best proximity points for p–summing cyclic orbital Meir-Keeler contractions, International Journal of Pure and Applied Mathematics 107(1), (2016) 225-243. Link Author's copy
  24. B. Zlatanov. Error estimates for approximating best proximity points for cyclic contractive maps, Carpathian Journal of mathematics 32(2), (2016) 265-270. Link Author's copy
  25. R. Koleva, B. Zlatanov. On fixed points for Chatterjea’s maps in b-metric spaces, Turkish Journal of Analysis and Number Theory 4(2), (2016) 31-34. Link Author's copy
  26. A. Ilchev, B. Zlatanov. Error estimates for approximation of coupled best proximity points for cyclic contractive maps, Applied Mathematics and Computation 290, (2016) 412–425 Link
  27. Saravanan Karpagam, B. Zlatanov. Best proximity points of p-cyclic orbital Meir–Keeler contraction maps, Nonlinear Analysis: Modelling and Control 21(6), (2016) 790–806 Link
  28. A. Ilchev, B. Zlatanov. On fixed points for Reich maps in b-metric spaces, Annual of Konstantin Preslavski University of Shumen, Faculty of Mathematics and Computer science ХVІI С, (2016) 77–88 Link
  29. A. Ilchev, B. Zlatanov. Fixed and Best Proximity Points for Kannan Cyclic Contractions in Modular Function Spaces, Journal of Fixed Point Theory Applications 19(4), (2017) 2873–2893 Link
  30. A. Ilchev, B. Zlatanov. Coupled Fixed Points and Coupled best Proximity Points in Modular Function Spaces, International Journal of Pure and Applied Mathematics 118(4), (2018) 957-977 Link
  31. Tharmalingam GunasekarSaravanan KarpagamB. ZlatanovOn p-Cyclic Orbital M-K Contractions in a Partial Metric Space, Mathematics, 6(7), (2018)116 Link
  32. Education:
  33. Б. Царева, Б. Златанов, К. Пройчева. Съставяне на задачи с подобни триъгълници, свързани с височините на триъгълника, Математика + 2, (2010) 20-27. Author's copy
  34. Б. Златанов, С. Караибрямов, Б. Царева. Вертикална интеграция на обучението в средното училище и университета чрез проективни методи в динамична среда, Математика + 1, (2012), 50-60. Author's copy
  35. Б. Златанов, С. Караибрямов, Б. Царева. Върху нова функция в динамичния софтуер, On a New Function in the Dynamic Software, Практически семинар по проекта Fibonacci, Боровец 9-12.04.2012. Author's copy English Author's copy Bulgarian Software and Sketches (Чертежи)
  36. S. Karaibryamov, B. Tsareva, B. Zlatanov. Educational Software for Interactive Training of Students on the Theme "Mutual Intersecting of Pyramids and Prisms in Axonometry”, Acta Didactica Napocensia 5(1), (2012) 29-44. Link Author's copy
  37. Т. Глушкова, Б. Златанов. Теорема на Ван Обел и приложения, Математика и информатика LV 5(1) (2012) 445-452. Link Author's copy
  38. S. Karaibryamov, B. Tsareva, B. Zlatanov. Optimization of the Courses in Geometry by the Usage of Dynamic Geometry Software Sam, The Electronic Journal of Mathematics and Technology 7(1), (2013) 22-51. Link Author's copy
  39. B. Zlatanov. Some Properties of Reflection of Quadrangle about Point, Annals. Computer Science Series 11(1), (2013) 79-91. Link Author's copy
  40. B. Zlatanov. An Etude on One Sharygin’s Problem, Global Journal of Advanced Research on Classical and Modern Geometries 3(2), (2014) 50-61. Link Author's copy
  41. B. Tsareva, B. Zlatanov. Intersection of Polyhedrons and a Plane with GeoGebra, North American GeoGebra Journal 5(1), (2016) 39-52. Link Author's copy
  42. B. Zlatanov. On a Family Curves of the Second Class, Global Journal of Advanced Research on Classical and Modern Geometries, 6(2), (2017) 91-105 Link Author's copy
  43. Applied Mathematics:
  44. S. Bozhkov, K. Kolikov, B. Zlatanov. Estimates of the Correction Coefficient in Coulomb’s Law for Electrostatic Interaction Between Two Charged Conducting Spheres, Bulletin of the Transilvania University of Brasov, Series III - Mathematics • Informatics • Physics 8(57)(1), (2015) 1-14. Link Author's copy

Talks on Conferences:

  1. Gateaux differentiability in Banach spaces with an uncountable unconditiolal basis. 4 International Conference on Geometry and Applications Varna'99, Bulgaria.
  2. Gateaux differentiability in Orlicz spaces with an uncountable basis. 28th Frolik school on Abstract analysis Kristanovice, Czech Republic'2000.
  3. Exact cotype of weighted Orlicz sequence spaces. Jubilee Scientific Session of the Plovdiv University “Paissii Hilendarsski" Plovdiv, Bulgaria'2000.
  4. Smoothness in Musielak-Orlicz sequence spaces. University of Murcia, Seminar in the faculty of Mathematics, Departament of analysis, 2003.
  5. On an equivalent smooth renorming in Musielak-Orlicz spaces. Seminar of the Institute fo Mathematics and informatics, Bulgarian Academy of Sciences, department “Real and Functional Analysis”, 2004.
  6. Gateaux Differentiability in Musielak-Orlicz spaces, Seminar of the department “Real Analysis”, Plovdiv University “Paissii Hilendarsski", Plovdiv, Bulgaria, 2005.
  7. Schur property in Muscielak-Orlicz sequence spaces, The 8th International conference of Tensor society on differential geometry, functional & complex analysis, informatics and their applications, Varna 2005.
  8. Connection between Schur property and some asymptotic properties with respect to the unit vector basis. Seminar of the Institute fo Mathematics and informatics, Bulgarian Academy of Sciences, department “Real and Functional Analysis”, 2005.
  9. Weakly compact sets and fixed point property in Musielak-Orlicz sequence spaces with an asymptotic l_1 dual. Seminar of the Institute fo Mathematics and informatics, Bulgarian Academy of Sciences, department “Real and Functional Analysis”, 2006.
  10. On Musielak-Orlicz sequence spaces with an Asymptotic l_1 dual, Seminar of the department “Real Analysis”, Plovdiv University “Paissii Hilendarsski", Plovdiv, Bulgaria, 2007.
  11. Some Classes of Weighted Orlicz Sequence Space with a Weak Uniform Normal Structure. Seminar of the Institute fo Mathematics and informatics, Bulgarian Academy of Sciences, department “Real and Functional Analysis”, 2007.
  12. An Example of a Weighted Orlicz Sequence Space with a Weak Uniform Normal Structure. Seminar of the department “Real Analysis”, Plovdiv University “Paissii Hilendarsski", Plovdiv, Bulgaria, 2008.
  13. Fixed point theorems of Kannan type for cyclical contractive conditions, REMIA, 10 - 12. December 2010, Faculty of Mathematics and Informatics, Ploovdiv.
  14. Fixed Points for Mappings with a Contractive Iterate at Each Point, Faculty of Mathematics and Informatics, department “Real and Functional Analysis”, Sofia University “st. Kliment Ohridski”, 2011.
  15. p-Summing Mappings and Best Proximity Points, North University of Baia Mare, Department of Mathematics and Computer Science (2011).
  16. On Some Expressions for the Riesz Angle of Weighted Orlicz Sequence Spaces, Faculty of Mathematics and Informatics, department “Real and Functional Analysis”, Sofia University “st. Kliment Ohridski”, 2012.
  17. Върху нова функция в динамичния софтуер, Изследователски подход в образованието по математика, Европейски проект Fibonacci, Боровец, 9-12.04.2012.
  18. Best proximity points for p-summing contractions in uniformly convex Banach spaces, Seminar of the department “Real Analysis”, Plovdiv University “Paissii Hilendarsski", Plovdiv, Bulgaria, 2013.
  19. On an open problem for variational principles and best proximity points, Faculty of Mathematics and Informatics, department “Real and Functional Analysis”, Sofia University “st. Kliment Ohridski”, 2013.
  20. Some Properties of Reflection of Quadrangle about Point, Faculty of Mathematics and Informatics, department “Real and Functional Analysis”, Sofia University “st. Kliment Ohridski”, 2014.
  21. On fixed points for Reich maps in b-metric spaces, International Scientific Conference “MATTEX 2016” - 11 - 13 November 2016 “Konstantin Preslavsky” University of Shumen, Bulgaria.

Citations:

  1. R. Maleev, B. Zlatanov. Smoothness in Musielak-Orlicz sequence spaces. C. R. Acad. Bulg. Sci. 55 (2002), No.6, 11-16
    • R. Gonzalo, J. Jaramillo, S. Troyanski. High order smoothness and asymptotic structure in Banach spaces. Journal of Convex Analysis 14(2) (2007), 249-270.
    • P. Hajek, M. Johanis. Smooth Analysis in Banach Spaces. Walter de Gruyter, Berlin, 2014.
  2. All results in the Geometry of Orlicz type spaces
    • “Polish Mathematical Society” http://leksykon.ptm.mimuw.edu.pl/biogramy/orlicz/pliki/Orlicz-Biografia.pdf
  3. B. ZlatanovSchur property and lp isomorphic copies in Musielak-Orlicz sequence spaces, Bulettin of the Australian Mathematical Society 75, (2007) 193-210
    • F. Hernandez, C. Ruiz. Lq-structure of variable exponent spaces. Journal of mathematical Analysis and Applications, 389 (2) (2012), 899-907
    • L. Maligranda. Hidegoro Nakano (1909–1974) – on the centenary of his birth. Proceedings of the International Symposium on Banach and Function Spaces III (Kitakyushu, Japan, 2009), (2011) 99–171
  4. B. ZlatanovOn Musielak-Orlicz Sequence Spaces with an Asymptotic l∞ dual, Annuaire de l’Universite de Sofia “st. Kliment Ohridski” 99, (2009) 203-214
    • A. Barrera-Cuevas, M.A. Japón. New families of nonreflexive Banach spaces with the fixed point property. Journal of mathematical Analysis and Applications, 425 (1) (2015), 349–363
    • A. Barrera-Cuevas. Ph.D. Thesis: Métricas Equivalentes y Existencia de Puntos Fijos Para Aplicaciones de Tipo No-Expansivo. Universidad de Sevilla Facultad de Matemáticas Departamento de An´alisis Matemático (2015).
  5. M. Petric, B. ZlatanovFixed point theorems of Kannan type for cyclical contractive conditions, REMIA, 10 - 12. December 2010, Faculty of Mathematics and Informatics, Plovdiv
    • M. Petric. Best Proximity Point Theorems for weak Cyclic Kannan Contractions. Filomat 25(1) (2011), 145-154
    • Mihaela Petric. Ph.D. Thesis: Fixed Points and Best Proximity Points Theorems for Cyclical Contractive Operators. North University of Baia Mare, Faculty of Science, (2011)
    • Marin Borcut. Ph.D. Thesis: Tripled Fixed Points for Operators in Partially Ordered Metric Spaces. Technical University of Cluj-Napoca North Universitary Center from Baia Mare, Faculty of Sciences, (2012), http://vberinde.ubm.ro/multimedia/doctorate/doctoranzi/teze/ Rezumat_phd_Borcut_en.pdf
    • Bojor Florin. Fixed Points of Kannan Mappings in Metric Spaces Endowed with a Graph. Analels Stiintifice ale Universitatii "OVIDIUS"” Constanta Seria MATEMATICA, 20(1), (2012), 31-40
    • Bojor Florin. Ph.D. Thesis: Fixed Points Theorems in Metric Spaces Endowed with a Graph. North University of Baia Mare, Faculty of Science, (2012), http://vberinde.ubm.ro/multimedia/doctorate/doctoranzi/teze/ Rezumat_phd_Bojor_en.pdf
    • Bojor Florin. Fixed Points of Bianchini Mappings in Metric Spaces Endowed with a Graph. Carpathian Journal of Mathematics 28(2) (2012), 207-214
    • Maryam Alghamdi, Naseer Shahzad and Oscar Valero. On fixed point theory in partial metric spaces. Fixed Point Theory and Applications 2012 2012:175 (2012)
    • Mitropam Chakraborty and S. K. Samanta. On a Fixed Point Theorem for a Cyclical Kannan-type Mapping. Scientific Journal FACTA UNIVERSITATIS (NIS) Ser. Math. Inform. 28(2), (2013), 179–188, http://arxiv.org/pdf/1301.5050.pdf (22 January 2013)
    • Meryam Cherichi, Bessem Samet, and Calogero Vetro. Fixed-Point Theorems in Complete Gauge Spaces and Applications to Second-Order Nonlinear Initial-Value Problems. Journal of Function Spaces and Applications Volume 2013 (2013), Article ID 293101, 8 pages http://dx.doi.org/10.1155/2013/293101
    • Hemant Kumar Nashine, Zoran Kadelburg. Weaker cyclic (φ, ϕ)-contractive mappings with an application to integro-differential equations, Nonlinear Analysis: Modelling and Control, 2013, Vol. 18, No. 4, 427–443
    • V. Berinde, M. Petric. Fixed point theorems for cyclic non-self single-valued almost contractions. Carpathian J. Math. 31(3) (2015), 289-296
    • Satish Shuklaa, Hemant Kumar Nashine. Cyclic-Prešic–Ciric operators in metric-like spaces and fixed point theorems, Nonlinear Analysis: Modelling and Control, 2016, Vol. 21, No. 2, 273–261
    • A. Horvat-Marc, Petric M. Examples of cyclical operators. Carpathian Journal of Mathematics 32(3) (2016) 331-338.
    • Đinh Ngọc Quang, Master Thesis: Về sự tồn tại điểm bất động của các ánh xạ cyclic trong không gian tựa metric, Nghệ An - 2015.
    • Mai Xuân Mãi, Master Thesis: Về Sự Tồn Tại Điểm Bất Động Của Các Ánh Xạ Cyclic Co Yếu Suy Rộng Trong Khoogn Gian b-mêtric, Nghệ An – 2015.
    • M. Petric. Best proximity point theorems for weak cyclic Bianchini contractions, CREATIVE MATH. & INF. 27(1), (2018), 71-78.
  6. M. Petric, B. Zlatanov.  Best proximity point theorems for weak p-cyclic Kannan contractions (preprint). 
    • Mihaela Petric. Ph.D. Thesis: Fixed Points and Best Proximity Points Theorems for Cyclical Contractive Operators. North University of Baia Mare, Faculty of Science, (2011), http://vberinde.sciences.ubm.ro/multimedia/doctorate/doctoranzi/teze/ Resume_of_PhD_Thesis_Petric_M.pdf
  7. M. Petric, B. Zlatanov. Best proximity points and fixed points for p-summing maps. 
    • M. Pacurar, V. Berinde, M. Borcut, M. Petric: Triple fixed point theorems for mixed monotone Presic-Kannan and Presic-Chatterjea mappings in partially ordered metric spaces, CREATIVE MATH. & INF. 23(2) (2014), 223 - 234
    • V. Berinde, M. Petric. Fixed point theorems for cyclic non-self single-valued almost contractions. Carpathian J. Math. 31(3) (2015), 289-296
    • A. Horvat-Marc, Petric M. Examples of cyclical operators. Carpathian Journal of Mathematics 32(3) (2016) 331-338.
    • M. Petric. Best proximity point theorems for weak cyclic Bianchini contractions, CREATIVE MATH. & INF. 27(1), (2018), 71-78.
  8. B. Zlatanov. Best Proximity Points for p-Summing Cyclic Orbital Meir-Keeler Contractions, Nonlinear Analysis: Modelling and Control 20(4) (2015) 528-544.
    • P. S. Kumari, D. Panthi. Connecting various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self-mappings. Fixed Point Theory and Applications, 2016:15 (2016).
    • M. Petric. Best proximity point theorems for weak cyclic Bianchini contractions, CREATIVE MATH. & INF. 27(1), (2018), 71-78.
  9. Saravanan Karpagam, B. Zlatanov. Best proximity points of p-cyclic orbital Meir-Keeler contraction maps, Nonlinear Analysis: Modelling and Control 21(6) (2016) 790-806.
    • Hossein Lakzian, Ing-Jer Lin. Best proximity points for weak MT-cyclic Kannan contractions. Fundamental Journal of Mathematics and Applications, 1 (1) (2018).
  10. Saravanan Karpagam, B. Zlatanov. A note on best proximity points for P summing cyclic orbital Meir-Keeler contractions, Int. J. Pure Appl. Math. 107(1) (2016) 225-243.
    • A. Horvat-Marc, Petric M. Examples of cyclical operators. Carpathian Journal of Mathematics 32(3) (2016) 331-338.
  11. B. ZlatanovError estimates for approximating best proximity points for cyclic contractive maps, Carpathian J. Math. 32(2) (2016) 265-270.
    • A. Horvat-Marc, M. Petric. Examples of cyclical operators. Carpathian Journal of Mathematics 32(3) (2016) 331-338.
    • M. Choban, V. Berinde. Two open problems in the fixed point theory of contractive type mappings on quasimetric spaces, Carpathian Journal of Mathematics 33(2) (2017), 169-18.
    • M. Petric. Best proximity point theorems for weak cyclic Bianchini contractions, CREATIVE MATH. & INF. 27(1), (2018), 71-78.
    • Binayak S. Choudhury, PranatiMaity, Nikhilesh Metiya, Mihai Postolache. Approximating distance between sets bymultivalued coupling with application touniformly convex Banach spaces, Journal of Inequalities and Applications, (2018) 2018:130.
  12. B. ZlatanovBest proximity points in modular function spaces, Arab. J. Math. 4(3) (2015) 215-227.
    • M. Petric. Best proximity point theorems for weak cyclic Bianchini contractions, CREATIVE MATH. & INF. 27(1), (2018), 71-78
    • Arslan Hojat Ansari, Marta Demma, Liliana Guran, Jung Rye Lee, Choonkil Park. Fixed point results for C-class functions in modular metric spaces. Journal of Fixed Point Theory and Applications, 20(3), 2018, article number 103.
    • Binayak S. Choudhury, PranatiMaity, Nikhilesh Metiya, Mihai Postolache. Approximating distance between sets bymultivalued coupling with application touniformly convex Banach spaces, Journal of Inequalities and Applications, (2018) 2018:130.
  13. R. Koleva, B. Zlatanov. On fixed points for Chatterjea’s maps in b-metric spaces, Turkish Journal of Analysis and Number Theory 4(2) (2016) 31-34.
    • M. Pavlovic, A. Radenovic. A note on Meir-Keeler theorem in the context of b-metric spaces, (to appear)
    • Suzana Aleksi, Zoran D. Mitrovic, Stojan Radenovic, On some recent fixed point results for single and multi-valued mappings in b-metric spaces, (to appear)
    • Hassen Aydi, Radoje Bankovi, Ivan Mitrovi, Muhammad Nazam. Nemytzki-Edelstein-Meir-Keeler Type Results in b-Metric Spaces, Discrete Dynamics in Nature and Society, Volume 2018, Article ID 4745764, 7 pages
    • Umar Yusuf Batsari, Poom Kumam, Kanokwan Sitthithakerngkiet. Some Globally Stable Fixed Points in b-Metric Spaces, Symmetry, Volume 2018, 10(11), 555
  14. M. Ivanov, B.Zlatanov, N. Zlateva.  A variational principle and best proximity points, Acta Mathematica Sinica, English Series 31(8), (2015) 1315-1326.
    • Eshagh Hashemi, Reza Saadati. Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces, Mathematics 6(6), (2018), 93.
    • Binayak S. Choudhury, PranatiMaity, Nikhilesh Metiya, Mihai Postolache. Approximating distance between sets bymultivalued coupling with application to uniformly convex Banach spaces, Journal of Inequalities and Applications, (2018) 2018:130.
    • M. Gabeleh, O., Olela Otafudu, N. Shahzad. Best proximity point results using proximal normal structure revisited. Journal of Nonlinear and Convex Analysis, 19(4), (2018), 603-615.
  15. A. Ilchev, B. Zlatanov. Fixed and Best Proximity Points for Kannan Cyclic Contractions in Modular Function Spaces, Journal of Fixed Point Theory Applications 19(4), (2017) 2873–2893.
    • Arslan Hojat Ansari, Marta Demma, Liliana Guran, Jung Rye Lee, Choonkil Park. Fixed point results for C-class functions in modular metric spaces. Journal of Fixed Point Theory and Applications, 20(3), 2018, article number 103
    • Binayak S. Choudhury, Pranati Maity, Nikhilesh Metiya, Mihai Postolache. Approximating distance between sets bymultivalued coupling with application touniformly convex Banach spaces, Journal of Inequalities and Applications, (2018) 2018:130.
  16. A. Ilchev, B. ZlatanovError estimates for approximation of coupled best proximity points for cyclic contractive maps, Applied Mathematics and Computation 290, (2016) 412–425.
    • Binayak S. Choudhury, Pranati Maity, Nikhilesh Metiya, Mihai Postolache. Approximating distance between sets by multivalued coupling with application touniformly convex Banach spaces, Journal of Inequalities and Applications, (2018) 2018:130.
    • Binayak S. Choudhury, Pranati Maity, Nikhilesh Metiya, Mihai Postolache. Simultaneous Determination of Distances between Sets by Multivalued Kannan Type Coupling, International Journal of Analysis and Applications, 16(5) (2018), 712–732
  17. A. Ilchev, B. Zlatanov. On fixed points for Reich maps in b-metric spaces, Annual of Konstantin Preslavski University of Shumen, Faculty of Mathematics and Computer science ХVІI С, (2016) 77–88.
    • Umar Yusuf Batsari, Poom Kumam, Kanokwan Sitthithakerngkiet. Some Globally Stable Fixed Points in b-Metric Spaces, Symmetry, Volume 2018, 10(11), 555
  18. Б. Златанов, С. Караибрямов, Б. Царева. Върху нова функция в динамичния софтуер, Изследователски подход в образованието по математика, Европейски проект Fibonacci, Боровец, 9-12.04.2012.
    • Бистра Царева, Радка Тодорова. Интерактивно изучаване на описани четириъгълници в динамична среда. Математика и информатика, LVI(2), (2013), 142-158.
    • Петя Трифонова, Николина Данова, Радка Златанова. Изследователски ориентирано обучение по темата „Средна отсечка и медицентър на триъгълника” в динамична геометрична среда, Педагогически форум, 4, (2013), 89-100.
    • Диана Стефанова. Ph.D. Thesis: Формиране на математическа култура при билингви, Пловдивски Университет „Паисий Хилендарски”, Факултет по математика и информатика, 2013.
    • Сава Гроздев, Диана Стефанова, Калина Василева, Станислава Колева, Радка Тодорова. Стимулиране на творческата активност при билингви чрез динамечен софтуер. Математика и информатика. 57(3), (2014), 247-273.
    • Бистра Танева. Информационните технологии в помощ на интерактивното обучение по геометрия. Информационните технологии в помощ на интерактивното обучение по геометрия, VIII национална конференция "Образованието и изследванията в информационното общество", Пловдив, 2015, 219-228.
  19. Б. Златанов, С. Караибрямов, Б. Царева. Вертикална интеграция на обучението в средното училище и университета чрез проективни методи в динамична среда, Математика +, 1, 2012, 50-60.
    • Бистра Царева, Радка Тодорова. Интерактивно изучаване на описани четириъгълници в динамична среда. Математика и информатика, LVI(2), (2013), 142-158.
    • Пенка Рангелова, Ивайло Старибратов. Принадлежност на точки на права, Коала прес, Пловдив, (2013).
    • Петя Трифонова, Николина Данова, Радка Златанова. Изследователски ориентирано обучение по темата „Средна отсечка и медицентър на триъгълника” в динамична геометрична среда, Педагогически форум, 4, (2013), 89-100.
    • Диана Стефанова. Ph.D. Thesis: Формиране на математическа култура при билингви, Пловдивски Университет „Паисий Хилендарски”, Факултет по математика и информатика, 2013.
    • Сава Гроздев, Диана Стефанова, Калина Василева, Станислава Колева, Радка Тодорова. Стимулиране на творческата активност при билингви чрез динамечен софтуер. Математика и информатика. 57(3), (2014), 247-273.
  20. S. Karaibryamov, B. Tsareva, B. Zlatanov. Educational Software for Interactive Training of Students on the Theme "Mutual Intersecting of Pyramids and Prisms in Axonometry", Acta Didactica Napocensia, 5 (1), (2012) 29-44.
    • Бистра Царева. Интерактивно обучение по синтетична геометрия в динамична среда. МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, Proceedings of the Forty First Spring Conference of the Union of Bulgarian Mathematicians Borovetz, April 9–12, 2012, 401-407.
    • Бистра Царева, Радка Тодорова. Интерактивно изучаване на описани четириъгълници в динамична среда. Математика и информатика, LVI(2), (2013), 142-158.
    • Диана Стефанова. Ph.D. Thesis: Формиране на математическа култура при билингви, Пловдивски Университет „Паисий Хилендарски”, Факултет по математика и информатика, 2013.
    • Sevinç Taş. Master Thesis: Geometrik Cisimler Konusunun Öğretiminde Geogebra Kullaniminin Akademik Başariya Etkisi, Gazi Üniversitesi Eğitim Bilimleri Enstitüsü Nisan, 2016.
    • Sahar Bokosmaty, Myrto-Foteini Mavilidi, and Fred Paas. Making versus Observing Manipulations of Geometric Properties of Triangles to Learn Geometry using Dynamic Geometry software, Computers & Education, 113, (2017), 313-326.
    • Alfred Chimuka. The Effect Of Integration of Geogebra Software in the Teaching of Circle Geometry on Grade 11 Students’ Achievement, Master of Science in the Subject Mathematics Education at The University of South Africa, (2017), 
  21. S. Karaibryamov, B. Tsareva, B. Zlatanov. Optimization of the Courses in Geometry by the Usage of Dynamic Geometry Software Sam, The Electronic Journal of Mathematics and Technology, Volume 7 Number 1, (2013) 22-51.
    • Бистра Царева, Радка Тодорова. Интерактивно изучаване на описани четириъгълници в динамична среда. Математика и информатика, LVI(2), (2013), 142-158.
    • Пенка Рангелова, Ивайло Старибратов. Принадлежност на точки на права, Коала прес, Пловдив, (2013).
    • Петя Трифонова, Николина Данова, Радка Златанова. Изследователски ориентирано обучение по темата „Средна отсечка и медицентър на триъгълника” в динамична геометрична среда, Педагогически форум, 4, (2013), 89-100.
    • Диана Стефанова. Ph.D. Thesis: Формиране на математическа култура при билингви, Пловдивски Университет „Паисий Хилендарски”, Факултет по математика и информатика, 2013.
    • Сава Гроздев, Веселин Ненков. Няколко свойства на Симсъновите прави, свързани с Ойлеровите Криви. МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, Proceedings of the Forty Third Spring Conference of the Union of Bulgarian Mathematicians Borovetz, April 2–6, 2014, 240-247.
    • Сава Гроздев, Диана Стефанова, Калина Василева, Станислава Колева, Радка Тодорова. Стимулиране на творческата активност при билингви чрез динамечен софтуер. Математика и информатика. 57(3), (2014), 247-273.
    • Бистра Танева. Информационните технологии в помощ на интерактивното обучение по геометрия. Информационните технологии в помощ на интерактивното обучение по геометрия, VIII национална конференция "Образованието и изследванията в информационното общество", Пловдив, 2015, 219-228.
    • Sahar Bokosmaty, Myrto-Foteini Mavilidi, and Fred Paas. Making versus Observing Manipulations of Geometric Properties of Triangles to Learn Geometry using Dynamic Geometry software, Computers & Education, 113, (2017), 313-326.
  22. Б. Царева, Б. Златанов. Учебно помагало по синтетична геометрия (2013).
    • Бистра Царева. Интерактивно обучение по синтетична геометрия в динамична среда. МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, Proceedings of the Forty First Spring Conference of the Union of Bulgarian Mathematicians Borovetz, April 9–12, 2012, 401-407.
    • Бистра Танева. Информационните технологии в помощ на интерактивното обучение по геометрия. Информационните технологии в помощ на интерактивното обучение по геометрия, VIII национална конференция "Образованието и изследванията в информационното общество", Пловдив, 2015, 219-228.
  23. Б. Златанов. РЕАЛЕН АНАЛИЗ - Диференциално смятане на функция на една променлива с използване на алгебрични компютърни системи (2018).
    • Атанас Илчев. Изполване на компютърни алгебрични системи при намиране на формула за представяне на рекурентни числови редици. XI Национална конференция „Образованието и изследванията в информационното общество” 2018 , 227-235.
  24. Б. Златанов. Some Properties of Reflection of Quadrangle about Point.
    • Сава Гроздев, Веселин Ненков. Няколко свойства на Симсъновите прави, свързани с Ойлеровите Криви. МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, Proceedings of the Forty Third Spring Conference of the Union of Bulgarian Mathematicians Borovetz, April 2–6, 2014, 240-247.
    • Francisco Alves. Visual Criterion for Understanding the Notion of Convergence if Integrals in one Parameter. Acta Didactica Napocensia.7(1), (2014), 19-30.
    • Сава Гроздев, Веселин Ненков. Конични сечения с колинеарни центрове. МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, Proceedings of the Forty Third Spring Conference of the Union of Bulgarian Mathematicians SOK “Kamchia”, April 2–6, 2015, 291-298.
    • Сава Гроздев, Веселин Ненков. Обобщение на Теоремата на Микел. МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, Proceedings of the Forty Third Spring Conference of the Union of Bulgarian Mathematicians SOK “Kamchia”, April 2–6, 2015, 299-305.
    • Бистра Танева. Информационните технологии в помощ на интерактивното обучение по геометрия. Информационните технологии в помощ на интерактивното обучение по геометрия, VIII национална конференция "Образованието и изследванията в информационното общество", Пловдив, 2015, 219-228.
    • Сава Гроздев, Веселин Ненков. Няколко конструкции, породени от принципа за дуалност, Математика и информатика, 60(4), 2017, 391-400.
    • Sava Grozdev, Veselin Nenkov. Gaining New Knowledge by Computer Experiments. Journal of Education & Psychology, Vol. VII(LXIX) N1B/2017, 122-125.
  25. Б. Златанов. An Etude on one Sharygin’s Problem.
    • Сава Гроздев, Веселин Ненков. Конични сечения с колинеарни центрове. МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, Proceedings of the Forty Third Spring Conference of the Union of Bulgarian Mathematicians SOK “Kamchia”, April 2–6, 2015, 291-298.
    • Сава Гроздев, Веселин Ненков. Обобщение на Теоремата на Микел. МАТЕМАТИКА И МАТЕМАТИЧЕСКО ОБРАЗОВАНИЕ, Proceedings of the Forty Third Spring Conference of the Union of Bulgarian Mathematicians SOK “Kamchia”, April 2–6, 2015, 299-305.
    • Сава Гроздев, Веселин Ненков. Няколко конструкции, породени от принципа за дуалност, Математика и информатика, 60(4), 2017, 391-400.
  26. S. Bozhkov, K. Kolikov, B. Zlatanov. Estimates of the Correction Coefficient in Coulomb’s Law for Electrostatic Interaction Between Two Charged Conducting Spheres.
    • Стефан Божков. Ph.D. Thesis: Математически методи за изследване на електроматнитни взаимодействия между тела, имащи център на симетрия, Пловдивски Университет „Паисий Хилендарски”, Факултет по математика и информатика, 2015.
    • Kiril Kolikov. Theoretical assessment of the disparity in the electrostatic forces between two point charges and two conductive spheres of equal radii AIP Advances 6, 115011 (2016).

Lecture Notes & Software:

  1. Metric spaces (2014).
  2. Real Analysis - Differential Calculus of a function of one variable (04.04.2018).
  3. Real Analysis - Integral Calculus of a function of one variable (25.03.2018).
  4. Учебник за интерактивно обучение по Синтетична геометрия в динамична среда (2014).
  5. Учебник за интерактивно обучение по Синтетична геометрия в динамична среда -Фигури (2014).
  6. Dynamic Geometry Software - Sam (2012).
  7. Домашна работа по Математически анализ.

Projects:

  1. National Fund for Scientific Research of the Bulgarian Ministry of Education and Science, Contract N-808/98 “Banach and Hilbert spaces and operators in them” 1998-2004.
  2. National Fund for Scientific Research of the Bulgarian Ministry of Education and Science, Contract MM-1401/04 “Geometry of Banach spaces and operators connected with it” 2003-2006.
  3. Specialization on the Tempus Project JEP- 11087-96 in University College London, 25.09.1998-24.12.1999.
  4. Partisipation in the intensive Course "Wavelet Analysis and Signal Processsing” within the DAAD-Program in the Institute of Mathematics and Informatics Sofia, Bulgaria, 24.09.2001-12.10.2001.
  5. Spain, University of Mursia, 3.12.2003 - 17.12.2003.
  6. Plovdiv University ``Paisii Hilendarski'', NPD, Project NI11 - FMI-004.
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