Relation-Theoretic Nonlinear Almost Contractions with an Application to Boundary Value Problems

Abstract

This article investigates certain fixed-point results enjoying nonlinear almost contraction conditions in the setup of relational metric space. Some examples are constructed in order to indicate the profitability of our results. As a practical use of our findings, we demonstrate the existence of a unique solution to a specific first-order boundary value problem.

Keywords

• Λ-preserving sequence
• almost contractions
• boundary value problems