{"id":11822,"date":"2018-03-09T08:57:24","date_gmt":"2018-03-09T08:57:24","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/condiciones-de-optimalidad-en-programas-vectoriales-con-convexidad-generalizada\/"},"modified":"2018-03-09T08:57:24","modified_gmt":"2018-03-09T08:57:24","slug":"condiciones-de-optimalidad-en-programas-vectoriales-con-convexidad-generalizada","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/condiciones-de-optimalidad-en-programas-vectoriales-con-convexidad-generalizada\/","title":{"rendered":"Condiciones de optimalidad en programas vectoriales con convexidad generalizada"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Miguel Adan Oliver <\/strong><\/h2>\n<p>Se estudian programas vectoriales o multiobjetivos en espacios vectoriales reales parcialmente ordenados por un conoconvexo, con el objetivo de caracterizar las soluciones optimales de tales programas bajo condicones d\u00e9biles de convexidad de tipo \u00abconvexlile\u00bb y debilitando la habitual solidez del cono de orden. Ninguna noci\u00f3n topol\u00f3gica est\u00e1 involucrada salvo la topolog\u00eda natural del cuerpo de escalares.  para sustituir al cierre topol\u00f3gico, se introduce un concepto de clausura de tipo algebraico, denominado cierre vectorial, que es m\u00e1s d\u00e9bil que la clausura algebraica y, en espacios vectoriales topol\u00f3gicos, resulta intermedio entre los cierres algebraicos y topol\u00f3gico. Se dan propiedades del interior algebraico y de la clausura vectorial bajo condiciones de solidez relativa para conjuntos \u00abnearly convex\u00bb, y se estudia el ciere vectorial en el espacio dual. Se caracterizan el cierre vectorial y el interior algebraico relativo de un conjunto \u00abnearly convex\u00bb mediante un funcional de tipo minkowski.  teoremas de separaci\u00f3n propia entre conjunto y punto, y entre conos convexos se obtienen, bajo condicones de solidez relativa y de cierre vectorial.  se extienden a espacios vectoriales reales paracialmente ordenados por un cono convexo k, mediante el interior algebraico relativo diversos conceptos generalizados de k-convexidad y k-subconvexidad, y se introducen otros nuevos, como la k-convexidad parcial, en el caso de que el cono de orden sea un producto de conos. Se define, haciendo uso del cierre vectorial, el concepto de vector-k-convexidad y otros generalizados a apartir de este. se obtienen diversas caracterizaciones y se relacionan entre si todos los conceptos de k-convexidad estudiados. Bajo las m\u00e1s d\u00e9biles condiciones de convexidad se obtienen teoremas de alternativa de tipo gordan que son generalizaciones de otros existentes.  se introducen, conceptos an\u00e1logos de eficiencia propia de tipo hurwicz, bensony global de bor<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Condiciones de optimalidad en programas vectoriales con convexidad generalizada<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Condiciones de optimalidad en programas vectoriales con convexidad generalizada <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Miguel Adan Oliver <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Nacional de educaci\u00f3n a distancia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 29\/06\/2001<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Vicente Novo Sanjurjo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Luis Rodr\u00edguez mar\u00edn <\/li>\n<li>pablo Pedregal tercero (vocal)<\/li>\n<li>Mar\u00eda no Soler dorda (vocal)<\/li>\n<li>Jes\u00fas Fernandez novoa (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Miguel Adan Oliver Se estudian programas vectoriales o multiobjetivos en espacios vectoriales reales parcialmente ordenados por un [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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