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

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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JR_SCMA-18-2_008

تاریخ نمایه سازی: 12 خرداد 1400

Abstract:

In ۲۰۱۲, 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.

Keywords:

Common fixed points , Generalized alpha_*-psi-contractive multi-valued mappings , Order closed , Partially ordered set , Weakly increasing

Authors

Sajjad Pahlavany

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

Jalal Hassanzadeh Asl

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

Shahram Rezapour

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

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