A unique common fixed point for a family of set-valued mappings
By: Hakima Bouhadjera and Said Beloul
Abstract
The main purpose of this paper is to establish some common fixed point theorems for single and set-valued mappings, under strict contractive conditions with no continuity, no completeness, no inclusions and without using neither compactness nor closeness. These theorems improve the results of Fisher [8], Ahmed [1] and [2], and others. Also, common fixed point theorems for two hybrid pairs satisfying a contractive condition of integral type are given improving the results of [3], [4] and [6].
Language: English
Page range: 79 - 94
Submitted on: Jun 15, 2020
Accepted on: May 23, 2021
Published on: Mar 30, 2022
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
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© 2022 Hakima Bouhadjera, Said Beloul, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.