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Almost Nonlinear Contractions of Pant Type Employing Locally Finitely Transitive Relations with an Application to Nonlinear Integral Equations

Author

Listed:
  • Faizan Ahmad Khan

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

  • Abdulrahman F. Aljohani

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

  • Adel Alatawi

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

  • Fahad M. Alamrani

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

  • Mohammed Zayed Alruwaytie

    (Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia)

  • Esmail Alshaban

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

Abstract

In this research, a few metrical fixed-point outcomes consisting of an almost nonlinear Pant-type contraction employing a locally finitely transitive relation have been established. The findings of our research extrapolate, unify, develop, and improve a number of previously mentioned results. In the present investigation, we formulate a fixed-point finding for almost nonlinear Pant-type contractions in abstract metric space. To assist our study, we formulate numerous examples to illustrate our outcomes. Using our findings, we describe the existence and uniqueness of solutions to a nonlinear Fredholm integral equation.

Suggested Citation

  • Faizan Ahmad Khan & Abdulrahman F. Aljohani & Adel Alatawi & Fahad M. Alamrani & Mohammed Zayed Alruwaytie & Esmail Alshaban, 2025. "Almost Nonlinear Contractions of Pant Type Employing Locally Finitely Transitive Relations with an Application to Nonlinear Integral Equations," Mathematics, MDPI, vol. 13(19), pages 1-16, October.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:19:p:3235-:d:1767342
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