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arXiv · 2308.03775

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

Talat Nazir·Zakaria Ali·Shahin Nosrat Jogan·Sergei Silvestrov
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Abstract

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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Talat Nazir, Zakaria Ali, Shahin Nosrat Jogan, Sergei Silvestrov. 2023-08-01. Fixed point results for set-contractions on dislocated metric space with a directed graph. https://arxiv.org/abs/2308.03775

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