International Journal of Nonlinear Analysis and Applications
Some fixed point theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations
Document Type : Research Paper
Authors
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
Abstract
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
)