Probabilistic G-Metric space and some fixed point results

Abstract

In this note we introduce the notions of generalized probabilistic metric spaces and generalized Menger probabilistic metric spaces. After making our elementary observations and proving some basic properties of these spaces, we are going to prove some fixed point result in these spaces.

On common fixed points in generalized Menger spaces

“…Recently, the M. Janfada, A. Janfada and Z. Mollace [22] introduced the structure of probabilistic G-metric spaces and Menger probabilistic G-metric spaces and showed some basic properties about these spaces and then proved some fixed point theorems in it. Abed and Luaibi [23] define a GPM-space and use it to show that proved some fixed point theorem and common fixed point results for convers commuting mappings and weakly compatible mappings in G-Menger space by using implicit conditions. This paper is included some results about unique common fixed points in probabilistic G-Menger metric space in two various situations.…”