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

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