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

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.

Keywords

• nonlinear contractions
• comparison functions
• ϱ-comparative elements
• fixed points
• upper and lower solutions