Uniqueness of Stationary Distribution in Markov Processes: A Quintuple Fixed Point and Coincidence Point Approach

Authors

  • Samina Batul Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan
  • Sidra Fida Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan
  • Dur-e-Shehwar Sagheer Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan
  • Hassen Aydi Universit´e de Sousse, Institut Sup´erieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
  • Saber Mansour Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P.O. Box 14035, Holly Makkah 21955, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6131

Keywords:

Generalized metric space (GMs), Markov Process, Partially Ordered Metric Spaces (PoM), Tripled fixed point (TFp),

Abstract

This article introduces the concept of quintuple fixed points and coincidence points for matrix-related mappings in generalized metric spaces. Furthermore, the existence of quintuple coincidence points is established. This task is achieved by leveraging the structure of matrices. We derive several corollaries as special cases of our main results. These corollaries provide evidence for the authentication of the proven results.  To validate the significance of our findings, we provide a selection of non-trivial examples. Eventually, we demonstrate the practical applicability of our established results by applying them to determine the stationary distribution of a Markov process.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Samina Batul, Sidra Fida, Dur-e-Shehwar Sagheer, Hassen Aydi, Saber Mansour

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How to Cite

Uniqueness of Stationary Distribution in Markov Processes: A Quintuple Fixed Point and Coincidence Point Approach. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6131. https://doi.org/10.29020/nybg.ejpam.v18i2.6131