Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 12 1 2021 05 01 Some fixed point theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric‎ spaces with application to fractional integral equations 245 260 4776 10.22075/ijnaa.2021.4776 EN Farzaneh Lotfy Department of Mathematics‎, ‎Faculty of Science‎, ‎Tabriz Branch‎, ‎Islamic Azad‎ University Tabriz‎, ‎Iran‎ Jalal Hassanzadeh Asl Department of Mathematics‎, ‎Faculty of Science‎, ‎Tabriz Branch‎, ‎Islamic Azad‎ ‎University Tabriz‎, ‎Iran‎ Hassan Refaghat Department of Mathematics‎, ‎Faculty of Science‎, ‎Tabriz Branch‎, ‎Islamic Azad‎ University Tabriz‎, ‎Iran‎ Journal Article 2020 04 04 ‎‎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 https://ijnaa.semnan.ac.ir/article_4776_0b2314b9ac1a12187173eae2966e3ea0.pdf