A Unique Common Fixed Point for an Infinity of Set-Valued Maps
Abstract
The main purpose of this paper is to establish some common fixed point theorems for single and set-valued maps in complete metric spaces, under contractive conditions by using minimal type commutativity and without continuity. These theorems generalize, extend and improve the result due to Elamrani and Mehdaoui ([2]) and others. Also, common fixed point theorems in metric spaces under strict contractive conditions are given.
Language: English
Page range: 79 - 97
Submitted on: Jan 10, 2017
Accepted on: Mar 11, 2018
Published on: Aug 24, 2018
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
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© 2018 Hakima Bouhadjera, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.