Fixed point theorems in complete modular metric spaces and an application to anti-periodic boundary value problems-Reference-Cited by-同舟云学术

Fixed point theorems in complete modular metric spaces and an application to anti-periodic boundary value problems

Published:2017 Issue:17 Volume:31 Page:5475-5488
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aksoy Ümit¹,Karapınar Erdal¹,Erhan İnci¹

Affiliation:

1. Department of Mathematics, Atilim University, İncek, Ankara, Turkey

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 Carath?odory?s type is considered in the framework of modular metric spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

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