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

نویسندگان
Refaghat, Hassan ID 1
Lotfy, Farzaneh ID 2
Hassanzadeh Asl, Jalal ID 3

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

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

doi
10.22075/ijnaa.2021.4776
چکیده

‎‎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.

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