English

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

Combinatorics 2023-08-09 v1 Metric Geometry

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.

Keywords

Cite

@article{arxiv.2308.03775,
  title  = {Fixed point results for set-contractions on dislocated metric space with a directed graph},
  author = {Talat Nazir and Zakaria Ali and Shahin Nosrat Jogan and Sergei Silvestrov},
  journal= {arXiv preprint arXiv:2308.03775},
  year   = {2023}
}