On Weak Probabilistic φ-Contractions in Menger Spaces

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Abstract

In this paper, we introduce two new concepts: (0,∞)-dense set and weak probabilistic φ-contraction. Then we prove a fixed point theorem for weak probabilsticφ-contraction in Menger spaces, which generalizes and unifies several results in existing literatures. Finally, we provide an example to demonstrate the validity of our results.

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