A unique common fixed point for an infinity of set-valued maps

Hakima Bouhadjera

Published: 2018-06-18

Vol. 32 (2018)

A unique common fixed point for an infinity of set-valued maps

Hakima Bouhadjera

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.

Keywords:

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

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Bouhadjera, H. (2018). A unique common fixed point for an infinity of set-valued maps. Annales Mathematicae Silesianae, 32, 79–97. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13914

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References

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Vol. 32 (2018)
Published: 2018-08-24

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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