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Peer-reviewedCC BY 4.0PLOS One

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

  • Doaa Filali1
  • Amal F. Alharbi2
  • Mohammed Zayed Alruwaytie3
  • Abdulaziz Abbas Alshammari4
  • Faizan Ahmad Khan
  • Adel Alatawi
4 affiliations
  1. 1Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia
  2. 2Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
  3. 3Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi Arabia
  4. 4Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia
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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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Cite

BibTeXRIS
BibTeX
@article{filali2026relational,
  title = {{Relational nonlinear almost contractions of Lakshmikantham-Ćirić type and applications to boundary value problems}},
  author = {Doaa Filali and Amal F. Alharbi and Mohammed Zayed Alruwaytie and Abdulaziz Abbas Alshammari and Faizan Ahmad Khan and Adel Alatawi},
  journal = {PLOS One},
  year = {2026},
  month = aug,
  doi = {10.1371/journal.pone.0356463},
  url = {https://doi.org/10.1371/journal.pone.0356463},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Relational nonlinear almost contractions of Lakshmikantham-Ćirić type and applications to boundary value problems
AU  - Doaa Filali
AU  - Amal F. Alharbi
AU  - Mohammed Zayed Alruwaytie
AU  - Abdulaziz Abbas Alshammari
AU  - Faizan Ahmad Khan
AU  - Adel Alatawi
PY  - 2026
DA  - 2026/08/31
JO  - PLOS One
DO  - 10.1371/journal.pone.0356463
UR  - https://doi.org/10.1371/journal.pone.0356463
AB  - 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.
SN  - 1932-6203
ER  -