A General Fixed Point Theorem for Multivalued Mappings That Are Not Necessarily Contractions and Applications

Author:

Latif Abdul1,Luc Dinh The2

Affiliation:

1. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2. Avignon University, LMA-EA2151, 84000 Avignon, France

Abstract

We prove a general theorem on fixed points of multivalued mappings that are not necessarily contractions and derive a number of recent contributions on this topic for contraction mappings.

Funder

Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. New Results of Fixed-Point Theorems in Complete Metric Spaces;Mathematical Problems in Engineering;2022-08-09

2. Fixed point theorem for set-valued mappings with new type of inequalities;Asian-European Journal of Mathematics;2019-12-30

3. On Nonlinear Set-Valued $$\theta $$θ-Contractions;Bulletin of the Malaysian Mathematical Sciences Society;2018-10-24

4. Fixed point theorems for multivalued maps;Journal of Fixed Point Theory and Applications;2018-01-27

5. Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions;Journal of Function Spaces;2016

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