Coupled fixed point theorems for contractive mappings involving new function classes and applications-Reference-Cited by-同舟云学术

Coupled fixed point theorems for contractive mappings involving new function classes and applications

Published:2017 Issue:7 Volume:31 Page:1893-1907
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ansari Arslan¹,Işik Hüseyin²,Radenovic Stojan³^ORCID

Affiliation:

1. Islamic Azad University, Department of Mathematics, Karaj Branch, Karaj, Iran

2. Muş Alparslan University, Faculty of Science and Art, Department of Mathematics, Muş, Turkey + University of Gazi, Faculty of Science, Department of Mathematics, Teknikokullar, Ankara, Turkey

3. State University of Novi Pazar, Novi Pazar

Abstract

The aim of this paper is to introduce the notions of ?-(F,H)-(?,?) and ?-(F,H)-(?,?) contractions and present several coupled fixed point theorems for this type of contractions in the set of ordered metric spaces. Several examples are offered to illustrate the validity of the obtained results. As an application, the existence of a solution of Fredholm nonlinear integral equations are also investigated.

Publisher

National Library of Serbia

Subject

General Mathematics

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