{"id":140,"date":"2020-10-31T18:02:19","date_gmt":"2020-10-31T21:02:19","guid":{"rendered":"http:\/\/eventos.cmm.uchile.cl\/optimseminar\/?p=140"},"modified":"2020-11-18T09:32:55","modified_gmt":"2020-11-18T12:32:55","slug":"an-algebraic-view-of-the-the-smallest-strictly-monotonic-function","status":"publish","type":"post","link":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/2020\/10\/an-algebraic-view-of-the-the-smallest-strictly-monotonic-function\/","title":{"rendered":"An algebraic view of the smallest strictly monotonic function"},"content":{"rendered":"<h3>Speaker: Professor C\u00e9sar Guti\u00e9rrez<\/h3>\n<h3>IMUVA (Mathematics Research Institute of the University of Valladolid), Valladolid, Spain<\/h3>\n<h3>Date:\u00a0 November 04,\u00a0 2020 at 10:00<\/h3>\n<p><strong>Title<\/strong>: An algebraic view of the smallest strictly monotonic function<\/p>\n<p lang=\"en-US\" align=\"justify\"><b>Abstract:<\/b> The talk concerns with one of the most popular functions to derive nonconvex separation results. Complete characterizations for both its level sets and basic properties such as monotonicity and convexity are provided in terms of its parameters. Most of these characterizations work without considering any additional requirement or assumption. Finally, as an application, a vectorial form of the Ekeland variational principle is provided.<\/p>\n<p>A recorded video of the conference is <a href=\"https:\/\/drive.google.com\/file\/d\/14igDSemOO8tp_wB0lq5rsBKN1bNPQFWd\/view?usp=sharing\">here<\/a> ;\u00a0 the slides can be downloaded <a href=\"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-content\/uploads\/sites\/96\/2020\/11\/CG_Talk_OptimizationSeminars2020.pdf\">here<\/a><\/p>\n<p><strong>Venue<\/strong>: Online via Google Meet\u00a0 <span class=\"JtukPc\"><span id=\"tabEvent\" class=\"HALYaf Dna1ee JGCEqd KKjvXb\" role=\"tabpanel\" data-tab-type=\"1\">meet.google.com\/tta-bhpu-raa<\/span><\/span><\/p>\n<p lang=\"en-US\" align=\"justify\"><strong><span class=\"tlid-translation translation\" lang=\"en\"><span class=\"\" title=\"\">A brief biography of the speaker<\/span><\/span><\/strong>: C\u00e9sar Guti\u00e9rrez (ORCID iD 0000-0002-8223-2088) is Professor at Universidad of Valladolid (Spain) and researcher of the Mathematics Research Institute of the University of Valladolid (IMUVA). He is author of 54 papers on several subjects related to vector and set-valued optimization. Currently, he is Associate Editor of Optimization.<\/p>\n<p><strong>Coordinators<\/strong>: Fabi\u00e1n Flores-Baz\u00e1n (Universidad de Concepci\u00f3n) and Abderrahim Hantoute (CMM)<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker: Professor C\u00e9sar Guti\u00e9rrez IMUVA (Mathematics Research Institute of the University of Valladolid), Valladolid, Spain Date:\u00a0 November 04,\u00a0 2020 at 10:00 Title: An algebraic view of the smallest strictly monotonic function Abstract: The talk concerns with one of the most popular functions to derive nonconvex separation results. Complete characterizations for both its level sets and &hellip; <a href=\"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/2020\/10\/an-algebraic-view-of-the-the-smallest-strictly-monotonic-function\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">An algebraic view of the smallest strictly monotonic function<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":77,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-140","post","type-post","status-publish","format-standard","hentry","category-seminar"],"_links":{"self":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/140","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/users\/77"}],"replies":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/comments?post=140"}],"version-history":[{"count":8,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/140\/revisions"}],"predecessor-version":[{"id":159,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/140\/revisions\/159"}],"wp:attachment":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/media?parent=140"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/categories?post=140"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/tags?post=140"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}