{"id":27316,"date":"2025-05-28T11:32:10","date_gmt":"2025-05-28T09:32:10","guid":{"rendered":"https:\/\/cio.umh.es\/?p=27316"},"modified":"2025-05-28T11:32:41","modified_gmt":"2025-05-28T09:32:41","slug":"seminario-cio-kruger","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2025\/05\/28\/seminario-cio-kruger\/","title":{"rendered":"Seminario CIO: Sequential Extremal Principle"},"content":{"rendered":"<p><span><strong>T\u00edtulo:<\/strong> Sequential Extremal Principle<br \/>\n<\/span><\/p>\n<p><strong>Ponente:<\/strong> Alexander Kruger (Faculty of Mathematics and Statistics, Ton Duc Thang University)<\/p>\n<p><span><strong>Fecha y hora:<\/strong> 05\/06\/2025, 12:45<\/span><\/p>\n<p><span><strong>Inscripci\u00f3n online (cierre 30 minutos antes del inicio): <\/strong>https:\/\/forms.gle\/DZkDjcaAThQJdaEe9<a href=\"https:\/\/forms.gle\/QSUnsTsoAoWwArxcA\"><\/a><\/span><\/p>\n<p><span><strong>Lugar<\/strong><strong>:<\/strong> Sala de Seminarios del Edificio Torretamarit (CIO) y online<\/span><\/p>\n<p><span><strong>Organizador: <\/strong>Juan Parra L\u00f3pez<strong><br \/>\n<\/strong><\/span><\/p>\n<p><strong>Abstract: <\/strong><\/p>\n<p>The conventional definition of extremality of a finite collection of sets is extended by replacing a fixed point (extremal point) in the intersection of the sets by a collection of sequences of points in the individual sets with the distances between the corresponding points tending to zero. This allows one to consider collections of un- bounded sets with empty intersection. Exploiting the ideas behind the conventional extremal principle, we derive an extended sequential version of the latter result in terms of Fr\u00e9chet and Clarke normals. Sequential versions of the related concepts of stationarity, approximate stationarity and transversality of collections of sets are also studied. As an application, we establish sequential necessary conditions for minimizing (and more general firmly stationary, stationary and approximately stationary) sequences in a constrained optimization problem.<\/p>","protected":false},"excerpt":{"rendered":"<p>T\u00edtulo: Sequential Extremal Principle<\/p>\n<p>Ponente: Alexander Kruger (Faculty of Mathematics and Statistics, Ton Duc Thang University)<br \/>\nFecha y hora: 05\/06\/2025, 12:45<br \/>\nInscripci\u00f3n online (cierre 30 minutos antes del inicio): https:\/\/forms.gle\/DZkDjcaAThQJdaEe9<br \/>\nLugar: Sala de Seminarios del Edificio Torretamarit (CIO) y online<br \/>\nOrganizador: Juan Parra L\u00f3pez<\/p>\n<p>Abstract:<br \/>\nThe conventional definition of extremality of a finite collection of sets is extended by replacing a [&#8230;]<\/p>","protected":false},"author":3477,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[873],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/27316"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/3477"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=27316"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/27316\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=27316"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=27316"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=27316"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}