A unique common fixed point for a family of set-valued mappings

Bouhadjera, Hakima; Beloul, Said

doi:10.2478/gm-2021-0007

Abstract

The main purpose of this paper is to establish some common fixed point theorems for single and set-valued mappings, under strict contractive conditions with no continuity, no completeness, no inclusions and without using neither compactness nor closeness. These theorems improve the results of Fisher [8], Ahmed [1] and [2], and others. Also, common fixed point theorems for two hybrid pairs satisfying a contractive condition of integral type are given improving the results of [3], [4] and [6].

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A unique common fixed point for a family of set-valued mappings

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