Title of article :
Some Common Fixed Point Results for Generalized α*-ψ-contractive Multi-valued Mappings on Ordered Metric Spaces with Application to Initial Value Problem
Author/Authors :
Pahlavany ، Sajjad Department of pure Mathematics - Islamic Azad University, Sarab Branch , Hassanzadeh Asl ، Jalal Department of Mathematics - Faculty of Science - Islamic Azad University, Tabriz Branch , Rezapour ، Shahram Department of Mathematics - Azarbaijan Shahid Madani University
Abstract :
In 2012, Samet, et al. introduced the notion of alphapsicontractive 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 α*-ψ-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 α* , ψ , contractive multi , valued mappings , Order closed , Partially ordered set , Weakly increasing
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
