Characterization and Application of Fixed Point Theorems for 3-Self Mappings in Generalized Metric Spaces

Authors

  • Maha Noorwali Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
  • Raed Hatamleh Department of Mathematics, Faculty of Science, Jadara University, P.O. Box 733, Irbid 21110, Jordan
  • Ahmad A. Abubaker Faculty of Computer Studies, Arab Open University, Saudi Arabia
  • Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan
  • Jamil J. Hamja Department of Mathematics, College of Arts and Sciences, MSU-Tawi-Tawi College of Technology and Oceanography, 7500 Philippines
  • Giorgio Nordo MIFT Department (Mathematical and Computer Science, Physical Sciences and Earth Sciences) - University of Messina, 98166 Sant'Agata, Messina, Italy
  • Takaaki Fujita Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan.
  • Arif Mehmood Khattak Department of Mathematics and Statistics, Riphah International University, Sector I- 14, Islamabad, Pakistan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5838

Keywords:

Common fixed point; GM-space; contraction conditions; nonlinear integral equations

Abstract

In this paper, we investigate new contraction results for 3-self-mappings on generalized metric spaces (GM-spaces) and develop and highlight the importance of several particular common fixed point (CFP) theorems. Our study contributes to the theoretical framework of fixed point theory by highlighting the existence of such points and thoroughly proving their uniqueness. As a practical application of our theoretical findings, we design and analyze a convincing case including 3-self mappings to further support the uniqueness of a CFP for generalized contractions in the given space. We also provide a solid and perceptive application pertaining to nonlinear integral equations to further support the wider applicability of our primary contributions, demonstrating the usefulness of our discoveries in mathematical analysis and beyond. An excellent example is developed for better understanding the results.

Author Biographies

  • Abdallah Al-Husban, Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan

    Prof

  • Takaaki Fujita, Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan.

    Prof

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Published

2025-05-22

Issue

Vol. 18 No. 2: (April 2025)

Section

Topology

License

Copyright (c) 2025 Maha Noorwali, Raed Hatamleh, Ahmad A. Abubaker, Abdallah Al-Husban, Jamil J. Hamja, Giorgio Nordo, Takaaki Fujita, Arif Mehmood Khattak

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How to Cite

Characterization and Application of Fixed Point Theorems for 3-Self Mappings in Generalized Metric Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5838. https://doi.org/10.29020/nybg.ejpam.v18i2.5838