{
  "abstract": "In this paper, we introduce a new and more general class of mappings that extends the Suzuki-type nonexpansive mapping. We first establish the existence of fixed points for this new class of mappings. Then, we propose an iterative scheme to approximate the fixed point and prove its convergence, rate of convergence, and data dependence results. A numerical example is presented to demonstrate the effectiveness of the proposed iterative scheme. Finally, we apply our results to solve boundary value problems, illustrating the practical usefulness of the proposed approach.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Government College University Lahore, Lahore 54000, Pakistan",
    "Department of Mechanical Engineering Science, University of Johannesburg, Johannesburg 2092, South Africa",
    "Department of Medical Research, China Medical University, Taichung 40604, Taiwan"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Rida Zainab",
      "orcid": "0009-0004-3526-6180"
    },
    {
      "affs": [
        0,
        1,
        2
      ],
      "name": "Mujahid Abbas",
      "orcid": "0000-0001-5528-1207"
    },
    {
      "affs": [
        1
      ],
      "name": "Muhammad Waseem Asghar",
      "orcid": "0000-0001-7538-2128"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/02rckp9pae0n6.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100730",
  "fulltext_url": null,
  "id": "02rckp9pae0n6",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/730",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Fixed Point Theorems Analysis"
    ]
  ],
  "openalex": "W7216065346",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/02rckp9pae0n6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100730",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/730"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Fixed Point Theorems Analysis",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Existence and Approximation of Fixed Points for a Novel Class of Mappings with Applications",
  "title_text": "Existence and Approximation of Fixed Points for a Novel Class of Mappings with Applications",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/02rckp9pae0n6",
  "venue": "Axioms",
  "versions": []
}