Abstract
We proved a common fixed point theorem for a sequence of self maps satisfying a new contraction type condition in Menger spaces, results extended and generalize some known results in metric spaces and fuzzy metric spaces.
Highlights
There have been a number of generalizations of metric space
If X is a nonempty set, F: X×X → ∆ is called a probabilistic distance on X and F(x,y) is usually detoned by Fxy
The important development of PSM-space) if X is a nonempty set and F is a fixed-point theory in Menger spaces was due to Sehgal probabilistic distance satisfying the following and Bharucha-Reid[3]
Summary
There have been a number of generalizations of metric space. One such generalization is Menger space introduced in 1942 by Menger[1] who was use distribution functions instead of nonnegative real numbers as values of the metric.
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