Abstract
In this article, we prove some fixed-point theorems for -contraction in probabilistic metric spaces for single valued case. We will generalize the definition of -contraction and present fixed-point theorem in the generalized -contraction.
Highlights
1 Introduction The probabilistic metric space was introduced by Menger [ ]
We extend the concept of (ψ, φ, λ)-contraction to the generalized (ψ, φ, λ)-contraction
We present a generalization of the (ψ, φ, λ)-contraction
Summary
The probabilistic metric space was introduced by Menger [ ]. A probabilistic metric space (S, F, T) is called sequentially complete if every Cauchy sequence is convergent.
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