Relational Nonlinear Almost Contractions of Mukherjea Type and Applications to Boundary Value Problems

In this paper, we explore specific fixed-point outcomes under a Mukherjea-Type nonlinear description of almost contractions in a metric space with a locally ℏ-transitive binary relation. Numerous previous insights are expanded, developed, improved, and consolidated in the outcomes reported herein. To demonstrate the reliability of our results, a couple of instances are supplied. Our outcomes are deployed to evaluate the accuracy of the unique solution of a boundary value problem.