Asst. Prof. Derya SEKMAN

Mathematical Methods in the Applied Sciences , vol.47, no.11, pp.8289-8318, 2024 (SCI-Expanded, Scopus)

3. On the controlled chaos of S-iteration according to Lyapunov exponent and certain control mechanisms in discrete dynamical systems

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS , vol.55, pp.253-267, 2023 (ESCI, Scopus)

4. On Chaos Controlling Mechanism for Ishikawa Iteration and Its Traffic Flow Model in Discrete Dynamical Systems

Sekman D., KARAKAYA V.

Journal of Dynamical and Control Systems , vol.29, no.4, pp.1547-1570, 2023 (SCI-Expanded, Scopus)

5. On fixed points of some multivalued mappings under certain function classes

KARAKAYA V., Sekman D.

Carpathian Mathematical Publications , vol.15, no.1, pp.128-136, 2023 (ESCI, Scopus)

6. Controlling Chaos for Multistep Iteration Process and Its Special Iterations in Discrete Dynamical Systems

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS IN APPLIED SCIENCES AND ENGINEERING , vol.32, no.02, pp.1-22, 2022 (SCI-Expanded, Scopus)

7. A NEW TYPE OF CONTRACTION VIA MEASURE OF NON-COMPACTNESS WITH AN APPLICATION TO VOLTERRA INTEGRAL EQUATION

SEKMAN D., BOUZARA N. E. H., KARAKAYA V.

PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE , vol.111, no.125, pp.111-121, 2022 (ESCI, Scopus)

8. An application of function sequences to the Darbo’s theorem with integral type transformations

KARAKAYA V., SEKMAN D.

Journal of Mathematical Extension , vol.14, no.4, pp.159-168, 2020 (ESCI)

9. On F-weak contraction of generalized multivalued integral type mappings with α-admissible

Karakaya V., Şimşek N., Sekman D.

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS , vol.17, no.01, pp.57-67, 2020 (ESCI, Scopus)

10. MEASURE OF NONCOMPACTNESS IN THE STUDY OF SOLUTIONS FOR A SYSTEM OF INTEGRAL EQUATIONS

KARAKAYA V., Mursaleen M., Bouzara N. E. H., Sekman D.

JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY , vol.25, no.1, pp.62-74, 2019 (ESCI)

11. On behaviour of Darbo fixed point theorem under function sequences

Karakaya V., Şimşek N., Sekman D.

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS , vol.20, pp.2313-2319, 2019 (SCI-Expanded, Scopus)

12. ON THE F-CONTRACTION PROPERTIES OF MULTIVALUED INTEGRAL TYPE TRANSFORMATIONS

Sekman D., KARAKAYA V.

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY , vol.25, no.3, pp.282-288, 2019 (ESCI, Scopus)

13. n-tuplet fixed points of multivalued mappings via measure of noncompactness

Communications in Optimization Theory , vol.2017, pp.1-13, 2017 (Peer-Reviewed Journal)

Papers Presented at Peer-Reviewed Scientific Conferences 23

1. From Stability to Chaos: Fixed Points and Bifurcations in the Framework of Discrete Dynamical Systems

6th International Interdisciplinary Symposium on Chaos and Complex Systems, SCCS 2025, İstanbul, Turkey, 8 - 10 May 2025, pp.85-95, (Full Text)

2. Approach of Fixed Point Theory to Chaos Control: Iterative Stabilization Mechanisms and Computational Applications

Sekman D.

Istanbul Nonlinear Dynamics & Integrability Workshop 2025, İstanbul, Turkey, 31 October 2025, pp.0-1, (Summary Text)

3. Set-Valued Topological Chaos and Measure of Noncompatness Sets

International Conference on Mathematics and Computers with Applications (MCWA 2025), İstanbul, Turkey, 16 - 18 July 2025, (Summary Text)

4. Machine Learning-Based Classification of Chaotic Behavior In Discrete Dynamical Systems

ANSARY R., SEKMAN D.

International Fundamental Sciences Symposium (TURAN25), İstanbul, Turkey, 23 June 2025, (Summary Text)

5. Numerical Modeling of Stars and Mathematical Analysis

ÇELİK H., SEKMAN D.

International Fundamental Sciences Symposium (TURAN25), İstanbul, Turkey, 23 June 2025, (Summary Text)

6. Picard-Type Hybrid Fixed Point Iterative Approaches for the Control of Chaos In Discrete Dynamical Systems

SEKMAN D.

6th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems (SCCS 2025), İstanbul, Turkey, 8 - 10 May 2025, (Summary Text)

7. Fixed Points and Bifurcations In The Framework of Discrete Dynamical Systems

6th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems (SCCS 2025), İstanbul, Turkey, 8 - 10 May 2025, (Summary Text)

8. Control Mechanism Over Feedback of Chaotic Multivalued Dynamical Systems

Sekman D.

8th International Conference On Mathematics "An Istanbul Meeting for World Mathematicians" (ICOM-2024), İstanbul, Turkey, 9 - 11 July 2024, (Summary Text)

9. On Some Chaotic Structures Using Fréchet Derivative On New Multistep Iteration

7th International Conference on Mathematics (ICOM-2023), İstanbul, Turkey, 11 July 2023, (Summary Text)

10. On Control Intervals of Chaos with Fréchet Derivative of Certain Iterations As Discrete Dynamical System In Banach Spaces

7th International Conference on Computational Mathematics and Engineering Sciences (CMES-2023), Elazığ, Turkey, 22 May 2023, (Summary Text)

11. On Controlling Chaos for Multi-Step Iteration Process and Its Special Iterations in Discrete Dynamical Systems

International Conference on Mathematics and Mathematics Education (ICMME-2021), Ankara, Turkey, 16 September 2021, (Summary Text)

12. On Fixed Point of Some Generalized Multivalued Mapping Under Function Sequences

5th International Conference on Computational Mathematics and Engineering Sciences (CMES-2021), Van, Turkey, 08 June 2021, (Summary Text)

13. Fundamental Problems of the Turkish Education System

KARAKAYA V., SEKMAN D.

International Symposium On Knowledge Generating and Science Policies in Turkey, Kırşehir, Turkey, 15 - 17 November 2017, pp.1019-1034, (Summary Text)

14. On the F-Contraction of The Darbo Theorem Generalized By Function Classes

4th International Conference On Analysis and Its Applications (ICAA-2018), Kırşehir, Turkey, 11 - 14 September 2018, (Summary Text)

15. Ishikawa Iteration Process as Control Systems and Chaotic Discrete Dynamical Sytems

4th International Conference On Analysis and Its Applications (ICAA-2018), Kırşehir, Turkey, 11 - 14 September 2018, (Summary Text)

16. Integral Type Darbo’s Fixed Point Theorem via Sequences of Functions

5th International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM-2018), Trabzon, Turkey, 23 - 27 July 2018, (Summary Text)

17. Mathematics As A Language Of Mind

KARAKAYA V., SEKMAN D.

3rd International Conference on Computational Mathematics and Engineering Sciences (CMES-2018), Girne, Cyprus (Kktc), 04 May 2018, pp.12, (Summary Text)

18. An Extension Of Darbo’s Fixed Point Theorem Defined By The Sequences Of Functions

SEKMAN D., KARAKAYA V., ŞİMŞEK N.

3rd International Conference on Computational Mathematics and Engineering Sciences (CMES-2018), Girne, Cyprus (Kktc), 4 - 06 May 2018, (Summary Text)

19. Fixed Point Theory and Dynamics-Chaotic Behaviors of Function Iteration Process

International Conference Operators on Morrey-Type Spaces and Applications (OMTSA-2017), Kırşehir, Turkey, 10 - 13 July 2017, (Summary Text)

20. F-contraction of generalized multivalued integral type mappings with α- admissible

SEKMAN D., KARAKAYA V., BOUZARA N. E. H.

International Conference Operators on Morrey-Type Spaces and Applications (OMTSA-2017), Kırşehir, Turkey, 10 - 13 July 2017, (Summary Text)

21. Fixed Point of Generalized Multivalued F- Contraction Mapping of IntegralType

International Conference On Mathematics and Engineering (ICOME-2017), İstanbul, Turkey, 10 - 12 May 2017, (Summary Text)

22. On Existing of Fixed Point For Multivalued Mapping via Measure of Noncompactness

SEKMAN D., KARAKAYA V., BOUZARA N. E. H.

2th International Conference On Analysis and Its Applications (ICAA-2016), Kırşehir, Turkey, 12 - 15 July 2016, (Summary Text)

23. On Mann Iteration Process Derived By Weighted Mean and Its Fixed Point

Karatekin Mathematics Days International Mathematics Symposium (KMD-2014), Çankırı, Turkey, 11 - 13 June 2014, (Summary Text)

Books 2

1. Matematiksel Düşüncenin Tarihi Gelişimi ve Eğitimde Konumlanması

in: Türkiye Eğitim Vizyonu Üzerine Değerlendirmeler, Doç. Dr. Fuat TANHAN, Editor, Pegem A Yayıncılık, Ankara, pp.35-44, 2019 Sustainable Development

2. On the Fundamental Problems of the Turkish Education System