{
  "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.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia",
    "Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia",
    "Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi Arabia",
    "Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia"
  ],
  "article_type": "Research Article",
  "arxiv": null,
  "author_total": 6,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Doaa Filali"
    },
    {
      "affs": [
        1
      ],
      "name": "Amal F. Alharbi"
    },
    {
      "affs": [
        2
      ],
      "name": "Mohammed Zayed Alruwaytie"
    },
    {
      "affs": [
        3
      ],
      "name": "Abdulaziz Abbas Alshammari"
    },
    {
      "name": "Faizan Ahmad Khan"
    },
    {
      "name": "Adel Alatawi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ftqj9byc30dq.bib",
  "cited_by": 0,
  "doi": "10.1371/journal.pone.0356463",
  "fulltext_url": null,
  "id": "0ftqj9byc30dq",
  "issns": [
    "1932-6203"
  ],
  "landing_url": "https://doi.org/10.1371/journal.pone.0356463",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Fixed Point Theorems Analysis"
    ],
    [
      "plos",
      "/Computer and information sciences/Information theory/Graph theory/Directed graphs"
    ],
    [
      "plos",
      "/Physical sciences/Mathematics/Calculus/Integrals"
    ],
    [
      "plos",
      "/Physical sciences/Mathematics/Graph theory/Directed graphs"
    ],
    [
      "plos",
      "/Physical sciences/Mathematics/Number theory/Real numbers"
    ]
  ],
  "openalex": "W7204835884",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": "Public Library of Science",
  "ris": "https://research.draconitic.com/paper/0ftqj9byc30dq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:02Z",
      "native_id": "10.1371/journal.pone.0356463",
      "source": "plos",
      "url": "https://doi.org/10.1371/journal.pone.0356463"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "plos:number theory",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "plos:calculus",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Relational nonlinear almost contractions of Lakshmikantham-Ćirić type and applications to boundary value problems",
  "title_text": "Relational nonlinear almost contractions of Lakshmikantham-Ćirić type and applications to boundary value problems",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:02Z",
  "url": "https://research.draconitic.com/paper/0ftqj9byc30dq",
  "venue": "PLOS One",
  "versions": []
}