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On Weakly Commuting Set-Valued Mappings on a Domain of Sets Endowed with Directed Graph

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The aim of this paper is to present coincidence and common fixed point results of set-valued mappings satisfying certain generalized graphic F-contractive conditions on a family of sets endowed with… Click to show full abstract

The aim of this paper is to present coincidence and common fixed point results of set-valued mappings satisfying certain generalized graphic F-contractive conditions on a family of sets endowed with a graph. It is worth mentioning that these results are obtained without appealing to any form of continuity of mappings involved herein. Some examples are presented to support the results proved in this paper. Our results unify, generalize and extend various comparable results in the existing literature.

Keywords: commuting set; valued mappings; weakly commuting; sets endowed; set valued; mappings domain

Journal Title: Results in Mathematics
Year Published: 2017

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