# Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph

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## Abstract

The aim of this paper is to present common fixed point results of set-valued graphic *F*-contraction mappings on a family of sets endowed with a graph. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature.

### Keywords

Set-valued mapping Domain of sets Common fixed point Graph*F*-contraction pair Directed graph

### Mathematics Subject Classification

47H10 54E50 54H25### References

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