Some Extended Results for Multivalued F-Contraction Mappings-Reference-Cited by-同舟云学术

Some Extended Results for Multivalued F-Contraction Mappings

Published:2023-01-22 Issue:2 Volume:12 Page:116
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Sahin Hakan¹^ORCID,Aslantas Mustafa²,Nasir Nasir Ali Abdulkareem²

Affiliation:

1. Department of Mathematics, Faculty of Engineering and Natural Sciences, Bursa Technical University, Bursa 16310, Turkey

2. Department of Mathematics, Faculty of Science, Çankırı Karatekin University, Çankırı 18100, Turkey

Abstract

In this study, we introduce a new notion, so-called KW-type F-contraction mapping, inspired by the ideas of Wardowski and Klim–Wardowski. Then, we investigate the existence of a best proximity point for such mappings by considering a new family, which is larger than the family of functions that is often used in fixed-point results for multivalued mappings. To demonstrate the effectiveness of our result, we also give a comparative example to which similar results in the literature cannot be applied. Moreover, we present an application of our main result to homotopic mappings.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/116/pdf

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