A new best proximity point results in partial metric spaces endowed with a graph

Ahmad Aloqaily; Nizar Souayah; Kenan Matawie; Nabil Mlaiki; Wasfi Shatanawi

doi:10.3390/sym15030611

A new best proximity point results in partial metric spaces endowed with a graph

Ahmad Aloqaily
, Nizar Souayah
, Kenan Matawie
, Nabil Mlaiki
, Wasfi Shatanawi

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

1 Downloads (Pure)

Abstract

For a given mapping f in the framework of different spaces, the fixed-point equations of the form (Formula presented.) can model several problems in different areas, such as differential equations, optimization, and computer science. In this work, the aim is to find the best proximity point and to prove its uniqueness on partial metric spaces where the symmetry condition is preserved for several types of contractive non-self mapping endowed with a graph. Our theorems generalize different results in the literature. In addition, we will illustrate the usability of our outcomes with some examples. The proposed model can be considered as a theoretical foundation for applications to real cases.

Original language	English
Article number	611
Number of pages	11
Journal	Symmetry
Volume	15
Issue number	3
DOIs	https://doi.org/10.3390/sym15030611
Publication status	Published - Mar 2023

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© 2023 by the authors.

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© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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abstract = "For a given mapping f in the framework of different spaces, the fixed-point equations of the form (Formula presented.) can model several problems in different areas, such as differential equations, optimization, and computer science. In this work, the aim is to find the best proximity point and to prove its uniqueness on partial metric spaces where the symmetry condition is preserved for several types of contractive non-self mapping endowed with a graph. Our theorems generalize different results in the literature. In addition, we will illustrate the usability of our outcomes with some examples. The proposed model can be considered as a theoretical foundation for applications to real cases.",

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AU - Souayah, Nizar

AU - Matawie, Kenan

AU - Mlaiki, Nabil

AU - Shatanawi, Wasfi

PY - 2023/3

Y1 - 2023/3

N2 - For a given mapping f in the framework of different spaces, the fixed-point equations of the form (Formula presented.) can model several problems in different areas, such as differential equations, optimization, and computer science. In this work, the aim is to find the best proximity point and to prove its uniqueness on partial metric spaces where the symmetry condition is preserved for several types of contractive non-self mapping endowed with a graph. Our theorems generalize different results in the literature. In addition, we will illustrate the usability of our outcomes with some examples. The proposed model can be considered as a theoretical foundation for applications to real cases.

AB - For a given mapping f in the framework of different spaces, the fixed-point equations of the form (Formula presented.) can model several problems in different areas, such as differential equations, optimization, and computer science. In this work, the aim is to find the best proximity point and to prove its uniqueness on partial metric spaces where the symmetry condition is preserved for several types of contractive non-self mapping endowed with a graph. Our theorems generalize different results in the literature. In addition, we will illustrate the usability of our outcomes with some examples. The proposed model can be considered as a theoretical foundation for applications to real cases.

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A new best proximity point results in partial metric spaces endowed with a graph

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