Enhanced Results in Common and Coincidence FixedPoint Theory with Applications to Simulation Mappings

Authors

  • Nassar Aiman Majid
  • Alaa. AL. Jumaili UNIVERSITY OF ANBAR
  • Zhen Chuan Ng School of Mathematical Sciences, Universiti Sains Malaysia, 11800, Penang, Malaysia
  • See Keong Lee School of Mathematical Sciences, Universiti Sains Malaysia, 11800, Penang, Malaysia

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i3.5268

Keywords:

${S}$-metric spaces, simulation mappings, common and coincidence fixed points, symmetrical complete ${S}$-metric

Abstract

In this manuscript, we apply the simulation mappings to present and verify several original results of common and coincidence fixed point in complete S-metric spaces. Moreover, using S-metric to expand and generalized diverse results in the literature involving simulation mappings. On the other hand, we apply our major results to derive several common and coincidence
fixed point theorems for right monotone simulation map in complete S-metric. As implementations, various related outcomes of fixed-point theory via specific simulation mappings are obtained in complete S-metric spaces. Additionally, illustrative examples and some applications to solve an integral equation are introduced to support our major results.

Downloads

Published

2024-07-31

Issue

Vol. 17 No. 3: (July 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Enhanced Results in Common and Coincidence FixedPoint Theory with Applications to Simulation Mappings. (2024). European Journal of Pure and Applied Mathematics, 17(3), 1877-1893. https://doi.org/10.29020/nybg.ejpam.v17i3.5268