Modified F-contractions via α-admissible mappings and application to integral equations-Reference-Cited by-同舟云学术

Modified F-contractions via α-admissible mappings and application to integral equations

Published:2017 Issue:5 Volume:31 Page:1141-1148
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aydi Hassen¹,Karapinar Erdal²,Yazidi Habib³

Affiliation:

1. University of Dammam, College of Education of Jubail, Industrial Jubail Department of Mathematics, Saudi Arabia + China Medical University, China Medical University Hospital, Department of Medical Research, Taichung, Taiwan

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

3. Jizan University, College of Sciences, Department of Mathematics, Saudi Arabia

Abstract

In this paper, we introduce the concept of a modified F-contraction via ?-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.

Publisher

National Library of Serbia

Subject

General Mathematics

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