Fixed Point and Common Fixed Point Theorems on (?,F)-Contractive Multi-Valued Mappings in Uniform Spaces

被引：1

作者：

Sagheer, Dur-e-Shehwar ^{[1
]}

Anwar, Muhammad ^{[1
]}

Hussain, Nawab ^{[2
]}

Batul, Samina ^{[1
]}

机构：

[1] Capital Univ Sci & Technol, Dept Math, Islamabad, Pakistan

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

FILOMAT | 2022年 / 36卷 / 17期

关键词：

Subject Classification; Primary Secondary; Multivalued mappings; F)-admissible pairs; F)-contractive mapping; Fixed point theorem; Common fixed point theorem; Uniform space (u; f; s;

D O I：

10.2298/FIL2217021S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the notion of (alpha,F)-contractive multi-valued mappings in the setting of uniform spaces. Some fixed point and common fixed point theorems for (alpha,F)-contractive mappings endowed with the uniform spaces are established. The existence and uniqueness of fixed points by using the structure of uniform spaces is discussed in detail. We set up a non-trivial example for the elaboration of these novel results. eventually, an application is also provided to elaborate the applicability of our results.

引用

页码：6021 / 6036

页数：16

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