{
  "abstract": "In this paper, we study a broad class of structured monotone inclusion problems in real Hilbert spaces. We propose a novel primal-dual splitting algorithm for solving such inclusions, which accommodates multiple monotone operators and cocoercive terms, as well as a composite monotone operator involving the linear map. The algorithm combines forward evaluations for the cocoercive components with backward resolvent steps for the monotone operators and employs a dual update for the linear composition term. It generalizes and unifies several existing methods, while requiring only a single resolvent or operator evaluation per iteration. We prove weak convergence of the iterates under standard assumptions on monotonicity and cocoercivity. Furthermore, we establish strong convergence under a mild regularity condition, such as uniform monotonicity. Numerical experiments on image deblurring and denoising problems demonstrate the efficiency and flexibility of the proposed algorithm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.28010",
  "author_total": 4,
  "authors": [
    {
      "name": "Changchi Huang"
    },
    {
      "name": "Jigen Peng"
    },
    {
      "name": "Liqian Qin"
    },
    {
      "name": "Yuchao Tang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c7w5er3gkwjrh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.28010",
  "fulltext_url": null,
  "id": "c7w5er3gkwjrh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.28010",
  "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.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.28010",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c7w5er3gkwjrh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2606.28010",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.28010"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "A primal-dual splitting algorithm for monotone inclusions with applications",
  "title_text": "A primal-dual splitting algorithm for monotone inclusions with applications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/c7w5er3gkwjrh",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.3934/ipi.2026045",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}