Theoretical analysis demonstrates fixed point theorems for relational nonlinear almost contractions, highlighting applications to boundary value problem solutions.
In this paper, we explore specific fixed point outcomes under a Lakshmikantham-Ćirić 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 few instances are supplied. Our outcomes are deployed to evaluate the accuracy of the unique solution of a boundary value problem.
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Filali et al. (2026) studied this question.
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