Title of article :
Some fixed point theorems for α∗-ψ-common rational type mappings on generalized metric spaces with application to fractional integral equations
Author/Authors :
Lotfy, Farzaneh Department of Mathematics - Faculty of Science - Tabriz Branch, Islamic Azad University Tabriz, Iran , Hassanzadeh Asl, Jalal Department of Mathematics - Faculty of Science - Tabriz Branch, Islamic Azad University Tabriz, Iran , Refaghat, Hassan Department of Mathematics - Faculty of Science - Tabriz Branch, Islamic Azad University Tabriz, Iran
Abstract :
Recently Hamed H Alsulami et al introduced the notion of
(α-ψ)-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 α∗-ψ-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
Journal title :
International Journal of Nonlinear Analysis and Applications
