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

Authors

Doaa Filali, Amal F Alharbi, Mohammed Zayed Alruwaytie, Abdulaziz Abbas Alshammari, Faizan Ahmad Khan, Adel Alatawi

Published in

PloS one. Volume 21. Issue 8. Pages e0356463. Epub Aug 31, 2026.

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.

PMID:
42672118
Bibliographic data and abstract were imported from PubMed on 01 Sep 2026.

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