{"id":27314,"date":"2025-05-28T11:09:57","date_gmt":"2025-05-28T09:09:57","guid":{"rendered":"https:\/\/cio.umh.es\/?p=27314"},"modified":"2025-05-28T11:33:23","modified_gmt":"2025-05-28T09:33:23","slug":"seminario-cio-ruckmann","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2025\/05\/28\/seminario-cio-ruckmann\/","title":{"rendered":"Seminario CIO: MPCC: STRONG STABILITY OF WEAKLY NONDEGENERATE S-STATIONARY POINTS"},"content":{"rendered":"<p><span><strong>T\u00edtulo:<\/strong> MPCC: STRONG STABILITY OF WEAKLY NONDEGENERATE S-STATIONARY POINTS<br \/>\n<\/span><\/p>\n<p><strong>Ponente:<\/strong> J.-J. R\u00fcckmann (University of Bergen, Norway)<\/p>\n<p><span><strong>Fecha y hora:<\/strong> 05\/06\/2025, 12:00<\/span><\/p>\n<p><span><strong>Inscripci\u00f3n online (cierre 30 minutos antes del inicio): <\/strong><a href=\"https:\/\/forms.gle\/QSUnsTsoAoWwArxcA\">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>We consider the class of mathematical programs with complementarity constraints (MPCC). Specifically, we focus on strong stability of M- and S-stationary points for MPCC. Kojima introduced this concept for standard nonlinear optimization problems. It refers to several well-posedness properties of the underlying problem. Besides its topological definition, the challenge is to state an algebraic characterization of strong stability. We obtain such a description for S-stationary points whose components of Lagrange vectors corresponding to bi-active constraints do not mutually vanish. We call these points weakly nondegenerate. Moreover, we show that a particular constraint qualification is necessary for strong stability. This is a joint work with Harald G\u00fcnzel (RWTH Aachen University, Germany) and Daniel Hernandez Escobar (Uppsala University, Sweden).<\/p>\n<p><strong>Keywords: <\/strong><\/p>\n<p>Mathematical programs with complementarity constraints (MPCC), M- and S-stationarity, strong stability, algebraic characterization, Generalized Mangasarian-Fromovitz constraint qualification.<\/p>","protected":false},"excerpt":{"rendered":"<p>T\u00edtulo: MPCC: STRONG STABILITY OF WEAKLY NONDEGENERATE S-STATIONARY POINTS<\/p>\n<p>Ponente: J.-J. R\u00fcckmann (University of Bergen, Norway)<br \/>\nFecha y hora: 05\/06\/2025, 12:00<br \/>\nInscripci\u00f3n online (cierre 30 minutos antes del inicio): https:\/\/forms.gle\/QSUnsTsoAoWwArxcA<br \/>\nLugar: Sala de Seminarios del Edificio Torretamarit (CIO) y online<br \/>\nOrganizador: Juan Parra L\u00f3pez<\/p>\n<p>Abstract:<br \/>\nWe consider the class of mathematical programs with complementarity constraints (MPCC). Specifically, we focus on strong [&#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\/27314"}],"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=27314"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/27314\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=27314"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=27314"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=27314"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}