visitante ::
identificación
|
|||||||||||||||
Buscar | Enviar | Ayuda | Servicio de Bibliotecas | Sobre el DDD | Català English Español |
Página principal > Artículos > Artículos publicados > On Bregman-type distances for convex functions and maximally monotone operators |
Fecha: | 2018 |
Resumen: | Given two point to set operators, one of which is maximally monotone, we introduce a new distance in their graphs. This new concept reduces to the classical Bregman distance when both operators are the gradient of a convex function. We study the properties of this new distance and establish its continuity properties. We derive its formula for some particular cases, including the case in which both operators are linear monotone and continuous. We also characterize all bi-functions D for which there exists a convex function h such that D is the Bregman distance induced by h. |
Ayudas: | Ministerio de Economía y Competitividad MTM2014-59179- C2-2-P Ministerio de Economía y Competitividad SEV-2015-0563 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Maximally monotone operators ; Bregman distances ; Banach spaces ; Representable operators ; Fitzpatrick functions ; Convex functions ; Variational inequalities |
Publicado en: | Set-Valued and Variational Analysis, Vol. 26, Núm. 2 (2018) , p. 369-384, ISSN 1877-0541 |
Postprint 19 p, 403.2 KB |