Fixed point results for set-contractions on dislocated metric space with a directed graph

Sergei Silvestrov; Shahin Nosrat Jogan; Talat Nazir; Zakaria Ali

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Fixed point results for set-contractions on dislocated metric space with a directed graph

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arxiv 2308.03775 v1 pith:KKI3BSBU submitted 2023-08-01 math.CO math.MG

Talat Nazir , Zakaria Ali , Shahin Nosrat Jogan , Sergei Silvestrov This is my paper · ORCID

classification math.COmath.MG

keywords resultsfixedgraphobtainedpointdirecteddislocatedmetric

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Generalized (rational) graph contractions in the framework of a dislocated metric space endowed with a directed graph are investigated. Fixed point results for set-contractions are obtained. We also provide some examples to illustrate our main results. Moreover, the well-posedness of obtained fixed point results are also shown. Our obtained results extend many results in the existing literature.

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