Weak compatibility and E.A. property for a common fixed point theorem in Menger space

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DOI:

https://doi.org/10.3126/rjurj.v2i1-2.72267

Keywords:

Menger space, Probabiulistic distance, Probabilistic metric space, Distribution function, t-norm

Abstract

One of the generalizations of Metric space is a Menger space which was introduced in 1942 by Menger who used distribution functions also called probabilistic distance instead of non-negative real numbers as values of the metric. In this paper, we obtain a unique common fixed point for four pairwise weakly compatible self-mappings which use the conditions of E.A. property and also satisfy certain sufficient conditions in setting of Menger space.

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Published

2024-12-06

How to Cite

Sisodia, K. S., Maharshi, A., & Sahani, S. K. (2024). Weak compatibility and E.A. property for a common fixed point theorem in Menger space. Rajarshi Janak University Research Journal, 2(1-2), 25–30. https://doi.org/10.3126/rjurj.v2i1-2.72267

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Articles