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.


Keywords

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

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Published : 2018-06-18


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

Hakima Bouhadjera  b_hakima2000@yahoo.fr
Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, Algeria  Algeria



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