Suzuki–Ćirić-Type Nonlinear Contractions Employing a Locally ζ-Transitive Binary Relation with Applications to Boundary Value Problems

Author:

Filali Doaa1ORCID,Khan Faizan Ahmad2ORCID

Affiliation:

1. Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia

2. Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

Abstract

This article is devoted to enhancing a class of generalized Suzuki-type nonlinear contractions following Pant to a class of Suzuki–Ćirić-type nonlinear contractions via comparison functions via a locally ζ-transitive relation and implemented the same to ascertain certain fixed-point results. The outcomes presented herewith unify and generalize a few existing findings. An illustrative examples is offered to explain our findings. Our outcomes assist us in figuring out the unique solution to a boundary value problem.

Funder

Princess Nourah bint Abdulrahman 210 University, Riyadh, Saudi Arabia

Publisher

MDPI AG

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