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

Document Type : Research Paper

Authors

1 Department of Mathematics‎, ‎Faculty of Science‎, ‎Tabriz Branch‎, ‎Islamic Azad‎ University Tabriz‎, ‎Iran‎

2 Department of Mathematics‎, ‎Faculty of Science‎, ‎Tabriz Branch‎, ‎Islamic Azad‎ ‎University Tabriz‎, ‎Iran‎

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