{"id":65385,"date":"2018-03-09T22:53:29","date_gmt":"2018-03-09T22:53:29","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/contractive-maps-and-complexity-analysis-in-fuzzy-quasi-metric-spaces\/"},"modified":"2018-03-09T22:53:29","modified_gmt":"2018-03-09T22:53:29","slug":"contractive-maps-and-complexity-analysis-in-fuzzy-quasi-metric-spaces","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/topologia-general\/contractive-maps-and-complexity-analysis-in-fuzzy-quasi-metric-spaces\/","title":{"rendered":"Contractive maps and complexity analysis in fuzzy quasi-metric spaces"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Pedro Tirado Pel\u00e1ez <\/strong><\/h2>\n<p>En los \u00faltimos a\u00f1os se ha desarrollado una teor\u00eda matem\u00e1tica con propiedades robustas con el fin de fundamentar la ciencia de la computaci\u00f3n. En este sentido, un avance significativo lo constituye el establecimiento de modelos matem\u00e1ticos que miden la \u00abdistancia\u00bb entre programas y entre algoritmos, analizados seg\u00fan su complejidad computacional.   en 1995, m. Schellekens inici\u00f3 el desarrollo de un modelo matem\u00e1tico para el an\u00e1lisis de la complejidad algor\u00edtmica basado en la construcci\u00f3n de una casi-m\u00e9trica definida en el espacio de las funciones de complejidad, proporcionando una interpretaci\u00f3n computacional adecuada del hecho de que un programa o algoritmo sea m\u00e1s eficiente que otro en todos su \u00abinputs\u00bb. Esta informaci\u00f3n puede extraerse en virtud del car\u00e1cter asim\u00e9trico del modelo. Sin embargo, esta estructura no es aplicable al an\u00e1lisis de algoritmos cuya complejidad depende de dos par\u00e1metros. Por tanto, en esta tesis introduciremos un nuevo espacio casi-m\u00e9trico de complejidad que proporcionar\u00e1 un modelo \u00fatil para el an\u00e1lisis de este tipo de algoritmos. Por otra parte, el espacio casi-m\u00e9trico de complejidad no da una interpretaci\u00f3n computacional del hecho de que un programa o algoritmo sea \u00abs\u00f3lo\u00bb asint\u00f3ticamente m\u00e1s eficiente que otro. Los espacios casi-m\u00e9tricos difusos aportan un par\u00e1metro \u00abt\u00bb, cuya adecuada utilizaci\u00f3n puede originar una informaci\u00f3n extra sobre el proceso computacional a estudiar; por ello introduciremos la noci\u00f3n de casi-m\u00e9trica difusa de complejidad, que proporciona un modelo satisfactorio para interpretar la eficiencia asint\u00f3tica de las funciones de complejidad.  en este contexto extenderemos los principales teoremas de punto fijo en espacios m\u00e9tricos difusos , utilizando una determinada noci\u00f3n de completitud, y obtendremos otros nuevos. Algunos de estos teoremas tambi\u00e9n se establecer\u00e1n en el contexto general de los espacios casi-m\u00e9tricos difusos intuicionistas, de lo que resultar\u00e1n condiciones de contracci\u00f3n menos fuertes.  los resultados obt<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Contractive maps and complexity analysis in fuzzy quasi-metric spaces<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Contractive maps and complexity analysis in fuzzy quasi-metric spaces <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Pedro Tirado Pel\u00e1ez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 19\/06\/2008<\/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>Salvador Romaguera Bonilla<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: valent\u00edn Gregori gregori <\/li>\n<li>Miguel \u00e1ngel S\u00e1nchez granero (vocal)<\/li>\n<li>Manuel Sanchis lopez (vocal)<\/li>\n<li>oscar Valero sierra (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Pedro Tirado Pel\u00e1ez En los \u00faltimos a\u00f1os se ha desarrollado una teor\u00eda matem\u00e1tica con propiedades robustas con [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[30372,16820,10898],"tags":[41223,144213,69256,144212,16824,41222],"class_list":["post-65385","post","type-post","status-publish","format-standard","hentry","category-lenguajes-algoritmicos","category-politecnica-de-valencia","category-topologia-general","tag-manuel-sanchis-lopez","tag-miguel-angel-sanchez-granero","tag-oscar-valero-sierra","tag-pedro-tirado-pelaez","tag-salvador-romaguera-bonilla","tag-valentin-gregori-gregori"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/65385","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=65385"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/65385\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=65385"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=65385"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=65385"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}