Fixed Point Theorems in Complete Modular Metric Spaces and an Application to Anti-periodic Boundary Value Problems

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2017

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Univ Nis, Fac Sci Math

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Abstract

In this paper existence and uniqueness of fixed points for a general class of contractive and nonexpansive mappings on modular metric spaces is discussed. As an application of the theoretical results, the existence of a solution of anti-periodic boundary value problems for nonlinear first order differential equations of Caratheodory's type is considered in the framework of modular metric spaces.

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KARAPINAR, ERDAL/0000-0002-6798-3254; ERHAN, INCI M./0000-0001-6042-3695; Aksoy, Umit/0000-0002-6014-1898
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KARAPINAR, ERDAL ORCID logo
ERHAN, INCI M. ORCID logo
Aksoy, Umit ORCID logo

Keywords

Modular metric, Fixed point, Boundary value problem

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23

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Volume

31

Issue

17

Start Page

5475

End Page

5488

URI

https://doi.org/10.2298/FIL1717475A
 https://hdl.handle.net/20.500.14411/2935

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