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
References
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Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, Algeria Algeria
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