{"id":576,"date":"2013-09-17T12:29:35","date_gmt":"2013-09-17T10:29:35","guid":{"rendered":"http:\/\/cio.umh.es\/?p=576"},"modified":"2013-09-17T12:29:35","modified_gmt":"2013-09-17T10:29:35","slug":"conferencia-prof-dr-michel-thera","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2013\/09\/17\/conferencia-prof-dr-michel-thera\/","title":{"rendered":"Conferencia Prof. Dr. Michel Th\u00e9ra"},"content":{"rendered":"

T\u00edtulo<\/strong>: Estabilidad de tipo Lipschitz unilateral de contracciones multivaluadas.
\nPonente<\/strong>: Michel Th\u00e9ra
\nFecha<\/strong>: 18\/09\/2013 12:30h
\nLugar<\/strong>: Laboratorio 0.2, Edificio Torretamarit<\/p>\n

Title<\/strong>: On one-sided Lipschitz stability of set-valued contractions.
\nSpeaker<\/strong>: Michel Th\u00e9ra
\nDate<\/strong>: 18\/09\/2013 12:30h
\nLocation<\/strong>: Laboratorio 0.2, Edificio Torretamarit<\/p>\n

<\/h4>\n

Resumen<\/h4>\n

We start to survey some results on fixed points of set-valued mapping. To begin with we will recall the Nadler fixed point theorem for contractive set-valued mappings, which reduces to the classical Banach contraction theorem for single-valued mappings. This theorem is a basic result in set-valued analysis and for this result and for all the talk we need to recall the notion of Hausdorff distance between pairs of nonempty subsets of a metric space (X; d). We will also introduce a generalization of Nadler’s Theorem known as the Dontchev-Hagler Fixed Point Theorem and finally we will give a result by T. -C. Lim . We will show that this last result can be sharpened significantly by using a generalization of a theorem by Arutyunov regarding fixed points of composition of mappings. A global version of the Lyusternik-Graves theorem is a corollary of this estimate as well. We apply the generalization of Lim’s result to derive one-sided Lipschitz properties of the solution mapping of a differential inclusion with a parameter.<\/p>\n

Breve Bio<\/h4>\n

Michel A. Th\u00e9ra es actualmente profesor em\u00e9rito del Laboratorio de Aritm\u00e9tica, C\u00e1lculo Formal y Optimizaci\u00f3n de la Universidad de Limoges. Ha sido catedr\u00e1tico de dicha universidad desde 1989, alcanzando la distinci\u00f3n de Catedr\u00e1tico de Clase Excepcional en 2004. Desde 2001 hasta 2004 fue presidente de SMAI (la Sociedad Francesa de Matem\u00e1ticas Aplicadas e Industriales). Como indicador de su actividad cient\u00edfica, citaremos que en la base de datos MatSciNet (de Mathematical Reviews, American Mathematical Society) tiene 107 art\u00edculos y 623 citas por 392 autores. Desde 2012 forma parte de un proyecto de investigaci\u00f3n financiado por el Ministerio de Econom\u00eda y Competitividad junto con el grupo \u201cOptimizaci\u00f3n y Estabilidad\u201d del instituto Centro de Investigaci\u00f3n Operativa de la UMH.<\/h4>\n

Abstract<\/h4>\n

We start to survey some results on fixed points of set-valued mapping. To begin with we will recall the Nadler fixed point theorem for contractive set-valued mappings, which reduces to the classical Banach contraction theorem for single-valued mappings. This theorem is a basic result in set-valued analysis and for this result and for all the talk we need to recall the notion of Hausdorff distance between pairs of nonempty subsets of a metric space (X; d). We will also introduce a generalization of Nadler’s Theorem known as the Dontchev-Hagler Fixed Point Theorem and finally we will give a result by T. -C. Lim . We will show that this last result can be sharpened significantly by using a generalization of a theorem by Arutyunov regarding fixed points of composition of mappings. A global version of the Lyusternik-Graves theorem is a corollary of this estimate as well. We apply the generalization of Lim’s result to derive one-sided Lipschitz properties of the solution mapping of a differential inclusion with a parameter.<\/p>\n

Brief Bio<\/h4>\n

Michel A. Th\u00e9ra es actualmente profesor em\u00e9rito del Laboratorio de Aritm\u00e9tica, C\u00e1lculo Formal y Optimizaci\u00f3n de la Universidad de Limoges. Ha sido catedr\u00e1tico de dicha universidad desde 1989, alcanzando la distinci\u00f3n de Catedr\u00e1tico de Clase Excepcional en 2004. Desde 2001 hasta 2004 fue presidente de SMAI (la Sociedad Francesa de Matem\u00e1ticas Aplicadas e Industriales). Como indicador de su actividad cient\u00edfica, citaremos que en la base de datos MatSciNet (de Mathematical Reviews, American Mathematical Society) tiene 107 art\u00edculos y 623 citas por 392 autores. Desde 2012 forma parte de un proyecto de investigaci\u00f3n financiado por el Ministerio de Econom\u00eda y Competitividad junto con el grupo \u201cOptimizaci\u00f3n y Estabilidad\u201d del instituto Centro de Investigaci\u00f3n Operativa de la UMH.<\/p>","protected":false},"excerpt":{"rendered":"

T\u00edtulo: Estabilidad de tipo Lipschitz unilateral de contracciones multivaluadas.
\nPonente: Michel Th\u00e9ra
\nFecha: 18\/09\/2013 12:30h
\nLugar: Laboratorio 0.2, Edificio Torretamarit
\nTitle: On one-sided Lipschitz stability of set-valued contractions.
\nSpeaker: Michel Th\u00e9ra
\nDate: 18\/09\/2013 12:30h
\nLocation: Laboratorio 0.2, Edificio Torretamarit<\/p>\n

Resumen
\nWe start to survey some results on fixed points of set-valued mapping. To begin with we will recall the Nadler fixed point theorem […]<\/p>","protected":false},"author":3477,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[4,873],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/576"}],"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=576"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/576\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=576"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}