{ "id": "1707.02527", "version": "v1", "published": "2017-07-09T05:20:14.000Z", "updated": "2017-07-09T05:20:14.000Z", "title": "Some Properties of Accretive Operators in Linear 2-Normed Spaces", "authors": [ "P. K. Harikrishnan", "K. T. Ravindran" ], "comment": "International Mathematical Forum, 2011 http://www.m-hikari.com/imf-2011/57-60-2011/harikrishnanIMF57-60-2011.pdf", "categories": [ "math.FA" ], "abstract": "In this paper we discuss some properties of resolvents of an accretive operator in linear 2-normed spaces, focusing on the concept of contraction mapping and the unique fixed point of contraction mappings in linear 2- normed spaces. Also, we establish the existence of solution of strong accretive operator equation in linear 2-normed spaces.", "revisions": [ { "version": "v1", "updated": "2017-07-09T05:20:14.000Z" } ], "analyses": { "subjects": [ "41A65", "41A15" ], "keywords": [ "properties", "strong accretive operator equation", "contraction mapping", "unique fixed point", "normed spaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }