{ "id": "2210.11131", "version": "v1", "published": "2022-10-20T09:46:59.000Z", "updated": "2022-10-20T09:46:59.000Z", "title": "On quantitative metastability for accretive operators", "authors": [ "Andrei Sipos" ], "comment": "arXiv admin note: text overlap with arXiv:1812.04940", "categories": [ "math.FA", "math.LO" ], "abstract": "Kohlenbach and the author have extracted a rate of metastability for approximate curves associated to continuous pseudocontractive self-mappings in Banach spaces which are uniformly convex and uniformly smooth, whose convergence is due to Reich. In this note, we show that this result may be extended to Reich's original convergence statement involving resolvents of accretive operators.", "revisions": [ { "version": "v1", "updated": "2022-10-20T09:46:59.000Z" } ], "analyses": { "subjects": [ "47H06", "47H09", "47H10", "03F10" ], "keywords": [ "accretive operators", "quantitative metastability", "reichs original convergence statement", "banach spaces", "approximate curves" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }