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A Solution Approach to Nonlinear Integral Equations in Generalized b-Metric Spaces

Author

Listed:
  • Mohammed M. M. Jaradat
  • Abeeda Ahmad
  • Saif Ur Rehman
  • Nabaa Muhammad Diaa
  • Shamoona Jabeen
  • Muhammad Imran Haider
  • Iqra Shamas
  • Rawan A. Shlaka
  • Francisco J. Garcia Pacheco

Abstract

In this paper, we study some generalized contraction conditions for three self-mappings on generalized b-metric spaces to prove the existence of some unique common fixed-point results. To unify our results, we establish a supportive example for three self-mappings to show the uniqueness of a common fixed point for a generalized contraction in the said space. In addition, we present a supportive application of nonlinear integral equations for the validation of our work. The concept presented in this paper will play an important role in the theory of fixed points in the context of generalized metric spaces with applications.

Suggested Citation

  • Mohammed M. M. Jaradat & Abeeda Ahmad & Saif Ur Rehman & Nabaa Muhammad Diaa & Shamoona Jabeen & Muhammad Imran Haider & Iqra Shamas & Rawan A. Shlaka & Francisco J. Garcia Pacheco, 2024. "A Solution Approach to Nonlinear Integral Equations in Generalized b-Metric Spaces," Journal of Mathematics, Hindawi, vol. 2024, pages 1-19, January.
    • Handle: RePEc:hin:jjmath:8847058
    DOI: 10.1155/2024/8847058
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