<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

A Unique Common Fixed Point for an Infinity of Set-Valued Maps

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A Unique Common Fixed Point for an Infinity of Set-Valued Maps"}

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...

A Unique Common Fixed Point for an Infinity of Set-Valued Maps

Published Online: Aug 24, 2018

Page range: 79 - 97

Received: Jan 10, 2017

Accepted: Mar 11, 2018

DOI: https://doi.org/10.2478/amsil-2018-0006

Keywords
complete metric space, compatible and δ-compatible maps, weakly compatible maps, common fixed point

© 2018 Hakima Bouhadjera, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A Unique Common Fixed Point for an Infinity of Set-Valued Maps

Published Online: Aug 24, 2018

Page range: 79 - 97

Received: Jan 10, 2017

Accepted: Mar 11, 2018

DOI: https://doi.org/10.2478/amsil-2018-0006

Keywordscomplete metric space, compatible and δ-compatible maps, weakly compatible maps, common fixed point

© 2018 Hakima Bouhadjera, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
complete metric space, compatible and δ-compatible maps, weakly compatible maps, common fixed point