New Fixed Point Results for Some Rational Contraction on $(\phi , \psi)$-Metric Spaces

In this article, we define  generalized $(\varphi,\sigma,\gamma)$-rational contraction, generalized $(\alpha\beta,\varphi\theta,F)$-rational  contraction  and establish some new fixed  point results in $(\phi,\psi)$-metric space. We also present instances to support our main results. We will use the...

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Bibliographic Details
Main Authors: Mohammed Mohammed Taleb, V. Borkar
Format: Article
Language:English
Published: University of Maragheh 2024-01-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:https://scma.maragheh.ac.ir/article_706752_e96789249de2f33ba493080f8d2d5f86.pdf
Description
Summary:In this article, we define  generalized $(\varphi,\sigma,\gamma)$-rational contraction, generalized $(\alpha\beta,\varphi\theta,F)$-rational  contraction  and establish some new fixed  point results in $(\phi,\psi)$-metric space. We also present instances to support our main results. We will use the results we obtained to investigate the existence and uniqueness of solutions to first-order differential equations.
ISSN:2322-5807
2423-3900