Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

被引：0
|
作者：
Prasit Cholamjiak
Yeol Je Cho
Suthep Suantai
机构：
[1] University of Phayao,School of Science
[2] Gyeongsang National University,Department of Mathematics Education and the RINS
[3] Chiang Mai University,Department of Mathematics, Faculty of Science
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
Maximal monotone operator; Shrinking projection method; Proximal point algorithm; Bregman projection; Totally convex function; Legendre function;
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摘要：
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method. Moreover, we also apply our results to a system of convex minimization problems in reflexive Banach spaces.
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