Some fixed point theorems for $alpha_{*}$-$psi$-common rational type mappings on generalized metric‎ spaces with application to fractional integral equations

Author(s):

Farzaneh Lotfy , Jalal Hassanzadeh Asl , Hassan Refaghat*

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

‎Recently Hamed H Alsulami et al introduced the notion of‎ ‎($alpha$-$psi$)-rational type contractive mappings‎. ‎They have been‎ ‎establish some fixed point theorems for the mappings in complete‎ ‎generalized metric spaces‎. ‎In this paper‎, ‎we introduce the notion‎ ‎of some fixed points theorems for $alpha_{*}$-$psi$-common‎ ‎rational type mappings on generalized metric spaces with application‎ ‎to fractional integral equations and give a common fixed point‎ ‎result about fixed points of the‎ ‎set-valued mappings‎.

Keywords:

Fixed points , α∗-common admissible , α∗-ψ-common rational type contractive , Partially ordered set , Generalized metric spaces , Weakly increasing , Fractional integral equations

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
245 to 260
https://www.magiran.com/p2261212