{
  "annotation_id": "6c16e4b1-c514-4acc-9d1b-a151890bea0e",
  "date_created": "2026-02-17T05:53:12.594000Z",
  "date_modified": "2026-02-17T05:53:12.594000Z",
  "file_hash": "f4e3323ee881f98201f18203ebb47395b058d7c643ef439d260ec27a8c05f706",
  "private": false,
  "record": {
    "abstract": "We propose and analyze a multi-inertial-iteration scheme in cone b, p-normed Banach spaces. This framework extends the classical Krasnoselskii-Mann and two-step inertial iterations by incorporating three independent inertial parameters and multiple error-control sequences. Under mild assumptions such as quasi-nonexpansiveness, weak contraction, and compatibility of mappings, we establish convergence theorems guaranteeing the existence and uniqueness of fixed points. Illustrative numerical examples demonstrate accelerated convergence compared with the classical Krasnoselskii-Mann method.",
    "arxiv_id": "2601.07837",
    "authors": [
      "Elvin Rada"
    ],
    "categories": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces",
    "url": "https://arxiv.org/abs/2601.07837",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9210ec79-f457-4d79-9c13-f600fca0b6a3",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}