Common Fixed Point Theorem for Six Functions on Menger Probabilistic
 Generalized Metric Space

Sanjay Roy; T. K. Samanta

doi:10.48550/arxiv.2505.18501

May 24, 2025Open Access

Common Fixed Point Theorem for Six Functions on Menger Probabilistic Generalized Metric Space

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Key Points

A unique common fixed point exists for six functions in a Menger probabilistic generalized metric space.
The study defines the compatibility of three functions alongside foundational theorems essential for proving results.
Applications of these findings can enhance mathematical modeling in probabilistic settings, broadening the understanding of fixed point theory.
The compatibility concept is crucial for ensuring convergence or stability in the considered metric framework.

Implication

This analysis finds a common fixed point for six functions, indicating the compatibility of selected functions in a probabilistic framework.

Abstract

The main aim of this paper is to find a unique common fixed point for six functions in a Menger probabilistic generalized metric space. For this purpose, we have defined the compatibility of three functions and established some required theorems.

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Cite This Study

Roy et al. (2025) studied this question.

synapsesocial.com/papers/68da58d8c1728099cfd11101 https://doi.org/10.48550/arxiv.2505.18501

View Full Paper

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Common Fixed Point Theorem for Six Functions on Menger Probabilistic Generalized Metric Space

Key Points

Implication

Abstract

Discussion

Cite This Study

Common Fixed Point Theorem for Six Functions on Menger Probabilistic Generalized Metric Space

Key Points

Implication

Abstract

Discussion

Cite This Study

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