A projection method for solving nonlinear problems in reflexive Banach spaces

被引：0
|
作者：
Simeon Reich
Shoham Sabach
机构：
[1] The Technion - Israel Institute of Technology,Department of Mathematics
来源：
Journal of Fixed Point Theory and Applications | 2011年 / 9卷
关键词：
47H05; 47H09; 47H10; 47J25; 90C25; Banach space; Bregman distance; Bregman firmly nonexpansive operator; Bregman inverse strongly monotone mapping; Bregman projection; convex feasibility problem; equilibrium problem; fixed point; iterative algorithm; Legendre function; monotone mapping; totally convex function;
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中图分类号：
学科分类号：
摘要：
We study the convergence of an iterative algorithm for finding common fixed points of finitely many Bregman firmly nonexpansive operators in reflexive Banach spaces. Our algorithm is based on the concept of the so-called shrinking projection method and it takes into account possible computational errors. We establish a strong convergence theorem and then apply it to the solution of convex feasibility and equilibrium problems, and to finding zeroes of two different classes of nonlinear mappings.
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页码：101 / 116
页数：15
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