Fixed Point Results for beta-psi-phi Contractive Mappings in F-Metric Spaces with L-Fuzzy Mappings

Authors

  • Shabani Makwaru Department of Mathematics, University of Dar es Salaam, P.O. Box 35062, Dar es Salaam, Tanzania
  • Muhammed Raji Department of Mathematics, Confluence University of Science and Technology, Osara Kogi State, Nigeria
  • Marco Mpimbo Department of Mathematics, University of Dar es Salaam, P.O. Box 35062, Dar es Salaam, Tanzania
  • Yahaya Danjuma Department of Mathematics, Confluence University of Science and Technology, Osara Kogi State, Nigeria

DOI:

https://doi.org/10.4314/tjs.v51i1.5

Abstract

In this paper, we explore the framework of -metric space, a well-known generalization of metric spaces, and establish fixed point results for -- contractive mappings in a complete -metric spaces endowed with L-fuzzy mappings. These additions broaden the body of knowledge in fixed point theory and fuzzy mappings. We showcase the practical applicability of our proposed results through illustrative examples and also, explore as an application, the solution for fuzzy initial-value problems.

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Published

2025-04-14

Issue

Vol. 51 No. 1 (2025)

Section

Mathematics and Computational Sciences

License

Authors who publish in The Eastern Africa Law Review retain the copyright to their work and grant the University of Dar es Salaam a non-exclusive license to publish, reproduce, and distribute the article.

This article is published under the Creative Commons Attribution 4.0 International (CC BY 4.0) License, which permits unrestricted use, distribution, adaptation, and reproduction in any medium, provided the original work is properly cited.