Article
Right Bregman nonexpansive operators in Banach spaces
Author/s | Martín Márquez, Victoria
Reich, Simeon Sabach, Shoham |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2012-09 |
Deposit Date | 2016-10-07 |
Published in |
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Abstract | We introduce and study new classes of Bregman nonexpansive operators
in reflexive Banach spaces. These classes of operators are associated with the Bregman distance induced by a convex function. In particular, we characterize ... We introduce and study new classes of Bregman nonexpansive operators in reflexive Banach spaces. These classes of operators are associated with the Bregman distance induced by a convex function. In particular, we characterize sunny right quasi-Bregman nonexpansive retractions, and as a consequence we show that the fixed point set of any right quasi-Bregman nonexpansive operator is a sunny right quasi-Bregman nonexpansive retract of the ambient Banach space. |
Project ID. | BFM2009-1096-C02-01
FQM-127 647/07 |
Citation | Martín Márquez, V., Reich, S. y Sabach, S. (2012). Right Bregman nonexpansive operators in Banach spaces. Nonlinear Analysis: Theory, Methods and Applications, 75 (14), 5448-5465. |
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