Relational nonlinear almost contractions of Lakshmikantham-Ćirić type and applications to boundary value problems.

Filali, Doaa; Alharbi, Amal F; Alruwaytie, Mohammed Zayed; Alshammari, Abdulaziz Abbas; Khan, Faizan Ahmad; Alatawi, Adel · PLoS One · 2026

other · Level V

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Abstract

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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