Fixed Point Theorems for Set-Valued Contractions in Metric Spaces-Reference-Cited by-同舟云学术

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Fixed Point Theorems for Set-Valued Contractions in Metric Spaces

Published:2024-01-27 Issue:2 Volume:13 Page:86
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Cho Seong-Hoon¹

Affiliation:

1. Department of Mathematics, Hanseo University, Seosan 356-706, Chungnam, Republic of Korea

Abstract

In this paper, the concepts of Wardowski-type set-valued contractions and Işik-type set-valued contractions are introduced and fixed point theorems for such contractions are established. A positive answer to the open Question is given. Examples to support main theorems and an application to integral inclusion are given.

Funder

Hanseo University Intramural Research Grants

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2075-1680/13/2/86/pdf

Reference32 articles.

1. Fixed point theory of a new type of contractive mappings in complete metric spacs;Wardowski;Fixed Point Theory Appl.,2012

2. Some new fixed point theorems for generalized F-contractions in complete metric spaces;Ahmad;Fixed Point Theory Appl.,2015

3. An observation on F-weak contractions and discontinuity at the fixed point with an applications;Alfaqih;J. Fixed Point Theory Appl.,2020

4. Fixed point results for F-contractions involving some new rational expressions;Arshad;JP J. Fixed Point Theory Appl.,2016

5. Remarks on F-weak contractions and discontinuity at the fixed point;Bedre;Adv. Theory Nonlinear Anal. Appl.,2020

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