Some fixed point theorems of (α‎,Ψ,p)-contractive ‎mappings in Menger probabilistic metric spaces with r-distance

Document Type : Research Article

Authors

1 Associate Professor, Faculty of Mathematical Sciences, Shahrekord University

2 Researcher, Faculty of Mathematical Sciences, Shahrekord University

3 PhD Candidate, Faculty of Mathematical Sciences, Shahrekord University

Abstract

In this paper, ‎we introduce (α‎,Ψ,p)-contractive ‎mapping,‎ α-admissible ‎mapping and r-distance in probabilistic Menger space. Then we prove some fixed point theorems for (α‎,Ψ,p)-contractive mappings in probabilistic Menger space with r-distances and to assure the uniqueness of the fixed point, we added the property (H) to assumptions of theorems.

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