Title of article
Bregman strongly nonexpansive operators in reflexive Banach spaces
Author/Authors
Martيn-Mلrquez، نويسنده , , Victoria and Reich، نويسنده , , Simeon and Sabach، نويسنده , , Shoham، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
18
From page
597
To page
614
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 of the Picard iterative method for operators of these types. Finally, we use our results to approximate common zeros of maximal monotone mappings and solutions to convex feasibility problems.
Keywords
Bregman distance , Bregman strongly nonexpansive operator , Monotone mapping , Nonexpansive operator , Reflexive Banach space , Totally convex function , Resolvent , Legendre function
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563398
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