# 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## Notes

### Acknowledgments

The authors are grateful to the referees for useful suggestion and remarks which helped to improve the presentation of the paper. The third author is thankful for the support to the Serbian Ministry of Education, Science and Technological Development (Grant No. 174033).

### Conflict of interest

The author declare that they have not competing interests.

### Author’s contributions

TN, MA, TAL and SR have worked together on each section of the paper such as the literature review, results and examples. All authors read approved the final manuscript.

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