Best proximity point results on R -metric spaces with applications to fractional differential equation and production-consumption equilibrium

In this article, we introduce the notion of best proximity point in \(\mathcal{R}\)-metric space. We prove the best proximity result in \(\mathcal{R}\)-metric space and also given some examples to strengthen our obtained results. Finally, an application to fractional differential equation and an application to production-consumption equilibrium are given.

Authors

Publication Details

Journal
Journal of Mathematics and Computer Science
Published
2024-11-21
DOI
https://doi.org/10.22436/jmcs.038.01.04
Citations
2
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
2.02

Funders

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article

Best proximity point results on R -metric spaces with applications to fractional differential equation and production-consumption equilibrium

Gopinath Janardhanan, Nabil Mlaiki, Ganapathy Mani, Ahmad Aloqaily et al.
2 citations
Journal of Mathematics and Computer Science
Fixed Point Theorems Analysis
2.02
article

Best proximity point results on R -metric spaces with applications to fractional differential equation and production-consumption equilibrium

Gopinath Janardhanan, Nabil Mlaiki, Ganapathy Mani, Ahmad Aloqaily, Zoran D‎. Mitrović
article en
2 citations

Abstract

In this article, we introduce the notion of best proximity point in \(\mathcal{R}\)-metric space. We prove the best proximity result in \(\mathcal{R}\)-metric space and also given some examples to strengthen our obtained results. Finally, an application to fractional differential equation and an application to production-consumption equilibrium are given.

Journal of Mathematics and Computer ScienceVol. 38(01)
Prince Sultan University
Openalex Percentile: Top 13%
Fixed Point Theorems Analysis
2.02
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Best proximity point results on R -metric spaces with applications to fractional differential equation and production-consumption equilibrium — Gopinath Janardhanan, Nabil Mlaiki, et al. · Journal of Mathematics and Computer Science (2024) | TGRS Research Map | TGRS