{"ID":2847521,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2601.07837","arxiv_id":"2601.07837","title":"Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces","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.","short_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-nonexpans...","url_abs":"https://arxiv.org/abs/2601.07837","url_pdf":"https://arxiv.org/pdf/2601.07837v1","authors":"[\"Elvin Rada\"]","published":"2025-10-31T09:20:37Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}