BEST APPROXIMATION TO COMMON FIXED POINTS OF A SEMIGROUP OF NONEXPANSIVE OPERATORS

被引：0
|
作者：
Aleyner, Arkady [1 ]
Censor, Yair [1 ]
机构：
[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2005年 / 6卷 / 01期
关键词：
Best approximation; common fixed points; semigroup; nonexpansive operators; sequential algorithm;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a sequential algorithm for finding the projection of a given point onto the common fixed points set of a semigroup of nonexpansive operators in Hilbert space. The convergence of such an algorithm was previously established only for finitely many nonexpansive operators. Algorithms of this kind have been applied to the best approximation and convex feasibility problems in various fields of applications.
引用
收藏
页码：137 / 151
页数：15
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