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

‎‎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.

‎Fixed points‎, ‎alpha_{*}-common admissible‎, ‎alpha_{*}-psi-common rational type contractive‎, ‎Partially‎ ‎ordered set‎, ‎Generalized metric spaces‎, ‎Weakly increasing‎, ‎Fractional integral equations