{ "id": "1803.02347", "version": "v1", "published": "2018-03-05T19:48:59.000Z", "updated": "2018-03-05T19:48:59.000Z", "title": "Two results in metric fixed point theory", "authors": [ "Daniel Reem", "Simeon Reich", "Alexander J. Zaslavski" ], "comment": "The 2006 version (officially published in JFPTA in 2007)", "journal": "Journal of Fixed Point Theory and Applications 1 (2007), 149--157", "doi": "10.1007/s11784-006-0011-4", "categories": [ "math.FA", "math.CA" ], "abstract": "We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a complete metric space $X$ into $X$, and the second with an application of the continuation method to the case where they satisfy the Leray-Schauder boundary condition in Banach spaces.", "revisions": [ { "version": "v1", "updated": "2018-03-05T19:48:59.000Z" } ], "analyses": { "subjects": [ "47H09", "47H10", "54H25", "G.1.2", "G.1.5", "J.2" ], "keywords": [ "metric fixed point theory", "leray-schauder boundary condition", "complete metric space", "banach spaces", "continuation method" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }