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

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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Publication Details

Journal
Rajarshi Janak University Research Journal
Published
2024-12-06
DOI
https://doi.org/10.3126/rjurj.v2i1-2.72267
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

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

Krishnapal Singh Sisodia, Suresh Kumar Sahani, Arvind Maharshi
Rajarshi Janak University Research Journal
Fixed Point Theorems Analysis
article

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

Krishnapal Singh Sisodia, Suresh Kumar Sahani, Arvind Maharshi
article en

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.

Rajarshi Janak University Research JournalVol. 2(1-2)
Mody University of Science and Technology (IN)
Reduced inequalities
Openalex Percentile: Top 66%
Fixed Point Theorems Analysis
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