{"id":147,"date":"2020-11-13T21:19:49","date_gmt":"2020-11-14T00:19:49","guid":{"rendered":"http:\/\/eventos.cmm.uchile.cl\/optimseminar\/?p=147"},"modified":"2020-11-18T08:43:59","modified_gmt":"2020-11-18T11:43:59","slug":"on-diametrically-maximal-sets-maximal-premonotone-maps-and-premonotone-bifunctions","status":"publish","type":"post","link":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/2020\/11\/on-diametrically-maximal-sets-maximal-premonotone-maps-and-premonotone-bifunctions\/","title":{"rendered":"On diametrically maximal sets, maximal premonotone maps and premonotone bifunctions"},"content":{"rendered":"<h3>Speaker: Professor Wilfredo\u00a0 Sosa<\/h3>\n<h3>Graduate Program of Economics, Catholic University of Brasilia,\u00a0 Brazil<\/h3>\n<h3>Date:\u00a0 November 18,\u00a0 2020 at 10:00<\/h3>\n<p><strong>Title<\/strong>: On diametrically maximal sets, maximal premonotone maps and premonotone bifunctions<\/p>\n<p lang=\"en-US\" align=\"justify\"><b>Abstract:<\/b> First, we study diametrically maximal sets in the Euclidean space (those which are not properly contained in a set with the same diameter), establishing their main properties. Then, we use these sets for exhibiting an explicit family of maximal premonotone operators. We also establish some relevant properties of maximal premonotone operators, like their local boundedness, and finally we introduce the notion of premonotone bifunctions, presenting a canonical relation between premonotone operators and bifunctions, that extends the well known one, which holds in the monotone case.<\/p>\n<p>A recorded video of the conference is &#8230;. ;\u00a0 the slides can be downloaded <a href=\"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-content\/uploads\/sites\/96\/2020\/11\/SOCMM-WSS.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\/tam-ddhj-psx<\/span><\/span><span id=\"tabEvent\" class=\"HALYaf Dna1ee JGCEqd KKjvXb\" role=\"tabpanel\" data-tab-type=\"1\"><\/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>: Wilfredo Sosa es profesor del Programa de Graduados de Econom\u00eda de la Universidad Cat\u00f3lica de Brasilia, Brazil; Egresado de la Universidad de Ingenier\u00eda de Lima, Per\u00fa. Formado en el IMPA de Rio de Janeiro Brasil. Co-Fundador del IMCA de Lima Peru. Miembro titular de la Academia de Ciencias de Per\u00fa. Areas de inter\u00e9s: Optimization theory; Duality theory; Equilibrium theory; Mathematical economy.<\/p>\n<p><strong>Coordinators<\/strong>: Fabi\u00e1n Flores-Baz\u00e1n (Universidad de Concepci\u00f3n) and Abderrahim Hantoute (CMM)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker: Professor Wilfredo\u00a0 Sosa Graduate Program of Economics, Catholic University of Brasilia,\u00a0 Brazil Date:\u00a0 November 18,\u00a0 2020 at 10:00 Title: On diametrically maximal sets, maximal premonotone maps and premonotone bifunctions Abstract: First, we study diametrically maximal sets in the Euclidean space (those which are not properly contained in a set with the same diameter), establishing &hellip; <a href=\"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/2020\/11\/on-diametrically-maximal-sets-maximal-premonotone-maps-and-premonotone-bifunctions\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">On diametrically maximal sets, maximal premonotone maps and premonotone bifunctions<\/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-147","post","type-post","status-publish","format-standard","hentry","category-seminar"],"_links":{"self":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/147","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=147"}],"version-history":[{"count":8,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/147\/revisions"}],"predecessor-version":[{"id":156,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/147\/revisions\/156"}],"wp:attachment":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/media?parent=147"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/categories?post=147"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/tags?post=147"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}