{
  "abstract": "In this paper, we study a general forward-backward splitting approach for monotone inclusion problems that simultaneously accommodate set-valued, monotone Lipschitz continuous, and cocoercive operators. Weak convergence is established under a general setting. Strong convergence is obtained when both the maximally monotone operators are linear relations and the monotone Lipschitz continuous and cocoercive operators are linear. When the set-valued operators are normal cones to closed linear subspaces, we derive an explicit characterization of limit points of generated sequences using a new technique. Numerical experiments on a quadratic minimization problem with multiple-set split feasibility constraints are presented to illustrate the theoretical results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05884",
  "author_total": 3,
  "authors": [
    {
      "name": "Minh N. Dao"
    },
    {
      "name": "Matthew K. Tam"
    },
    {
      "name": "Thang D. Truong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a12b28jxdmxbr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05884",
  "fulltext_url": null,
  "id": "a12b28jxdmxbr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05884",
  "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",
      "math.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05884",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a12b28jxdmxbr.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.05884",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05884"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Weak and strong convergence of a general splitting approach for monotone multioperator inclusions",
  "title_text": "Weak and strong convergence of a general splitting approach for monotone multioperator inclusions",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:14Z",
  "url": "https://research.draconitic.com/paper/a12b28jxdmxbr",
  "venue": "arXiv",
  "versions": []
}