{
  "abstract": "In our study, Darbo's fixed point theorem and the coupled fixed point theorem have been extended. The two theorems were generalized using $C-class$ mapping. Using the Darbo type theorem, we gave an existence result for a functional integral equation along with an appropriate illustration. In addition, we explored the numerical solution of a given functional integral problem using modified homotopy perturbation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03733",
  "author_total": 2,
  "authors": [
    {
      "name": "Bhuban Chandra Deuri"
    },
    {
      "name": "Anupam Das"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/751t9r4rddwnw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03733",
  "fulltext_url": null,
  "id": "751t9r4rddwnw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03733",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2608|Fixed Point Theorems Analysis"
    ]
  ],
  "openalex": "W7208777033",
  "pdf_url": "https://arxiv.org/pdf/2609.03733",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/751t9r4rddwnw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:36Z",
      "native_id": "2609.03733",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03733"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "An existence result of a functional integral equation via Darbo type theorem and an iterative algorithm to solve it",
  "title_text": "An existence result of a functional integral equation via Darbo type theorem and an iterative algorithm to solve it",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/751t9r4rddwnw",
  "venue": "arXiv",
  "versions": []
}