On Bregman-type distances and their associated projection mappings

We investigate convergence properties of Bregman distances induced by convex representations of maximally monotone operators. We also introduce and study the projection mappings associated with such distances.

Detalles Bibliográficos
Autores: Martínez Legaz, Juan Enrique|||0000-0002-6845-6202, Tamadoni Jahromi, Maryam, Naraghirad, Eskandar
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:250636
Acceso en línea:https://ddd.uab.cat/record/250636
https://dx.doi.org/urn:doi:10.1007/s10957-021-01970-4
Access Level:acceso abierto
Palabra clave:Bregman distance
Fixed point
Maximally monotone operator
Banach space
Descripción
Sumario:We investigate convergence properties of Bregman distances induced by convex representations of maximally monotone operators. We also introduce and study the projection mappings associated with such distances.