{"id":89,"date":"2020-08-03T09:36:09","date_gmt":"2020-08-03T13:36:09","guid":{"rendered":"http:\/\/eventos.cmm.uchile.cl\/optimseminar\/?p=89"},"modified":"2020-08-03T10:13:15","modified_gmt":"2020-08-03T14:13:15","slug":"epi-convergence-asymptotic-analysis-and-stability-in-set-optimization-problems","status":"publish","type":"post","link":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/2020\/08\/epi-convergence-asymptotic-analysis-and-stability-in-set-optimization-problems\/","title":{"rendered":"Epi-convergence, asymptotic analysis  and stability in set optimization problems"},"content":{"rendered":"<h3>Speaker: Prof. Rub\u00e9n L\u00f3pez<br \/>\nUniversity of Tarapac\u00e1, Arica, Chile<\/h3>\n<h3>Date:\u00a0 August 05, 2020 at 10:00<\/h3>\n<p><strong>Title<\/strong>: Epi-convergence, asymptotic analysis and stability in set optimization problems<\/p>\n<p lang=\"en-US\" align=\"justify\"><span style=\"font-family: CMR10, serif;\"><span style=\"font-family: Calibri, serif;\"><span style=\"font-size: medium;\"><b>Abstract: <\/b><\/span><\/span><\/span><span style=\"font-family: CMR10, serif;\"><span style=\"font-family: Calibri, serif;\"><span style=\"font-size: medium;\">We study the stability of set optimization problems with data that are not necessarily bounded. To do this, we use the well-known notion of epi-convergence coupled with asymptotic tools for set-valued maps. We derive characterizations for this notion that allows us to study the stability of vector and set type solutions by considering variations of the whole data (feasible set and objective map). We extend the notion of total epi-convergence to set-valued maps.<\/span><\/span><\/span><\/p>\n<p lang=\"en-US\" align=\"justify\"><span style=\"font-size: medium;\"><span lang=\"en-US\">* This work has been supported by Conicyt-Chile under project FONDECYT 1181368<\/span><\/span><\/p>\n<p class=\"western\" lang=\"es-CL\"><span style=\"font-size: medium;\"><span lang=\"es-ES\">Joint work with Elvira H\u00e9rn\u00e1ndez, Universidad Nacional de Educaci\u00f3n a Distancia, Madrid, Spain<\/span><\/span><\/p>\n<p>The slides of the conference can be downloaded here<\/p>\n<p><strong>Venue<\/strong>: Online via Google Meet &#8211; <a href=\"https:\/\/meet.google.com\/hgo-zwkr-fvh\">https:\/\/meet.google.com\/hgo-zwkr-fvh<\/a><\/p>\n<p><strong><span class=\"tlid-translation translation\" lang=\"en\"><span class=\"\" title=\"\">A brief biography of the speaker<\/span><\/span><\/strong>: Prof. Rub\u00e9n L\u00f3pez \u00a0 is Professor at the University of Tarapac\u00e1,\u00a0 Arica &#8211; Chile. He studied at Moscow State University &#8211; Mech Math (1996, Russia) and Universidad de Concepci\u00f3n &#8211; DIM (2005, Chile). He works on Optimization: asymptotic analysis, variational convergences, stability theory, approximate solutions and well-posedness.<\/p>\n<p><strong>Coordinators<\/strong>: Abderrahim Hantoute (CMM) and Fabi\u00e1n Flores-Baz\u00e1n (Universidad de Concepci\u00f3n)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker: Prof. Rub\u00e9n L\u00f3pez University of Tarapac\u00e1, Arica, Chile Date:\u00a0 August 05, 2020 at 10:00 Title: Epi-convergence, asymptotic analysis and stability in set optimization problems Abstract: We study the stability of set optimization problems with data that are not necessarily bounded. To do this, we use the well-known notion of epi-convergence coupled with asymptotic tools &hellip; <a href=\"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/2020\/08\/epi-convergence-asymptotic-analysis-and-stability-in-set-optimization-problems\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Epi-convergence, asymptotic analysis  and stability in set optimization problems<\/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-89","post","type-post","status-publish","format-standard","hentry","category-seminar"],"_links":{"self":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/89","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=89"}],"version-history":[{"count":7,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/89\/revisions"}],"predecessor-version":[{"id":96,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/89\/revisions\/96"}],"wp:attachment":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/media?parent=89"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/categories?post=89"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/tags?post=89"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}