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

Author(s):

Mohammed Mohammed Taleb * , V. Borkar

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Fixed point , (ϕ , ψ)-metric space , Generalized (ϕ , γ)-rational contraction , Generalized (α , F)-rational contraction , First order differential equations

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:21 Issue: 1, Winter 2024
Pages:
47 to 66
https://www.magiran.com/p2662416