Article
Bregman strongly nonexpansive operators in reflexive Banach spaces
Author/s | Martín Márquez, Victoria
Reich, Simeon Sabach, Shoham |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2013-04-15 |
Deposit Date | 2016-09-07 |
Published in |
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Abstract | We present a detailed study of right and left Bregman strongly nonexpansive operators in reflexive Banach spaces. We analyze, in particular, compositions and convex combinations of such operators, and prove the convergence ... We present a detailed study of right and left Bregman strongly nonexpansive operators in reflexive Banach spaces. We analyze, in particular, compositions and convex combinations of such operators, and prove the convergence of the Picard iterative method for operators of these types. Finally, we use our results to approximate common zeroes of maximal monotone mappings and solutions to convex feasibility problems. |
Project ID. | MTM2009-10696-C02-01
FQM-127 647/07 |
Citation | Martín Márquez, V., Reich, S. y Sabach, S. (2013). Bregman strongly nonexpansive operators in reflexive Banach spaces. Journal of Mathematical Analysis and Applications, 400 (2), 597-614. |
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