{
  "abstract": "In this paper, we introduce polynomial $\\mathcal{Z}$-contraction by unifying the ideas of polynomial contraction and $\\mathcal{Z}$-contraction and also provide demonstrative examples to show the effectiveness and novelty. Chiefly, we prove two fixed point results for polynomial $\\mathcal{Z}$-contraction employing simulation functions. Lastly, we utilize our main result to discuss the existence and uniqueness of solution for boundary value problem with a concrete example in $L^p(0,π)$ under suitable assumptions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.10546",
  "author_total": 2,
  "authors": [
    {
      "name": "Md Hasanuzzaman"
    },
    {
      "name": "Stojan N. Radenović"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3xgf8efgyt2hx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.10546",
  "fulltext_url": null,
  "id": "3xgf8efgyt2hx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.10546",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GM"
    ],
    [
      "openalex",
      "2608|Fixed Point Theorems Analysis"
    ]
  ],
  "openalex": "W7221127167",
  "pdf_url": "https://arxiv.org/pdf/2610.10546",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3xgf8efgyt2hx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.10546",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.10546"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Fixed Point Theorems Analysis",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Polynomial $\\mathcal{Z}$-contraction: A unified approach with Application",
  "title_text": "Polynomial 𝒵-contraction: A unified approach with Application",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/3xgf8efgyt2hx",
  "venue": "arXiv",
  "versions": []
}