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Information Journal Paper

Title

Some Common Fixed Point Results for Generalized $\alpha_*$-$\psi$-contractive Multi-valued Mappings on Ordered Metric Spaces with Application to Initial Value Problem

Pages

  111-128

Keywords

Generalized $alpha_*$-$psi$-contractive multi-valued mappings 

Abstract

 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 metricspaces. 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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