Fixed point theorem by using ψ–contraction and (ϕ,φ)–contraction in probabilistic 2–metric spaces

This research paper investigates and proves some theorems of the fixed point for self–mapping [T:X→X] under (ϕ,ψ)–contractive mappings and (ϕ,φ)–contractive mappings in Menger probabilistic 2–metric space. These theorems are used as an essential tool to convert the probabilistic metric to 2–metric s...

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Bibliographic Details
Main Authors: H.M. Abu-Donia, H.A. Atia, Omnia M.A. Khater
Format: Article
Language:English
Published: Elsevier 2020-06-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820300648