On generalized α-ψ-Geraghty contractions on b-metric spaces-Reference-Cited by-同舟云学术

On generalized α-ψ-Geraghty contractions on b-metric spaces

Published:2020-03-01 Issue:1 Volume:27 Page:9-21
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Afshari Hojjat¹,Aydi Hassen²,Karapınar Erdal³

Affiliation:

1. Faculty of Basic Science, University of Bonab, Bonab, Iran

2. Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. 12020, IndustrialJubail31961, Saudi Arabia; and Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

3. Department of Mathematics, Atilim University, 06836 Incek, Ankara, Turkey

Abstract

AbstractIn this paper, we consider generalized

{\alpha-\psi}

-Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions. In particular, we extend, improve and generalize some earlier results in the literature on this topic. An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/27/1/article-p9.xml

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