{ "id": "1408.3777", "version": "v1", "published": "2014-08-16T22:08:48.000Z", "updated": "2014-08-16T22:08:48.000Z", "title": "A positive fixed point theorem with applications to systems of Hammerstein integral equations", "authors": [ "Alberto Cabada", "José Ángel Cid", "Gennaro Infante" ], "comment": "11 pages", "categories": [ "math.CA" ], "abstract": "We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions for systems of nonlinear Hammerstein integral equations. An example is also presented to show the applicability of our results.", "revisions": [ { "version": "v1", "updated": "2014-08-16T22:08:48.000Z" } ], "analyses": { "subjects": [ "47H10", "34B10", "34B18", "45G15", "47H30" ], "keywords": [ "positive fixed point theorem", "application", "nonlinear hammerstein integral equations", "classical fixed point index theory" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1408.3777C" } } }