Document Type : Research Paper


1 Department of pure Mathematics, Sarab Branch, Islamic Azad University, Sarab, Iran.

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

3 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.


In 2012, Samet, et al. introduced the notion of $\alpha$-$\psi$-contractive type mappings. They have been establish some fixed point theorems for the mappings on complete metric
spaces. In this paper, we introduce the notion of generalized $\alpha_*$-$\psi$-contractive multi-valued mappings and we give some related fixed point results on ordered metric spaces via  application to an initial value problem.


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