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Relational Strict Almost Contractions Employing Test Functions and an Application to Nonlinear Integral Equations

Author

Listed:
  • Doaa Filali

    (Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia)

  • Faizan Ahmad Khan

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

Abstract

The present study deals with some fixed-point outcomes under a nonlinear formulation of strict almost contractions in a metric space endued with an arbitrary relation. The outcomes established herein enhance and develop various existing outcomes. To convince you of the infallibility of our outcomes, a few examples are presented. We apply our findings to investigate the validity of the unique solution of a nonlinear integral problem.

Suggested Citation

  • Doaa Filali & Faizan Ahmad Khan, 2024. "Relational Strict Almost Contractions Employing Test Functions and an Application to Nonlinear Integral Equations," Mathematics, MDPI, vol. 12(20), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3262-:d:1501064
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