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

In this paper, fixed point results with respect to generalized rational contractive mappings in semi-metric spaces endowed with a directed graph are proved. Some examples are provided to illustrate the results. The obtained results extend, improve and generalize many results in the existing literature.

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Publication Details

Journal
Applied General Topology
Published
2025-10-01
DOI
https://doi.org/10.4995/agt.2025.21706
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Zakaria Ali, Talat Nazir, Shahin Nosrat Jogan, Sergei Silvestrov
Applied General Topology
Fixed Point Theorems Analysis
article

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

Zakaria Ali, Talat Nazir, Shahin Nosrat Jogan, Sergei Silvestrov
article en

Abstract

In this paper, fixed point results with respect to generalized rational contractive mappings in semi-metric spaces endowed with a directed graph are proved. Some examples are provided to illustrate the results. The obtained results extend, improve and generalize many results in the existing literature.

Applied General TopologyVol. 26(2)
University of South Africa (ZA), Mälardalen University (SE)
Openalex Percentile: Top 67%
Fixed Point Theorems Analysis
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