The connection between the metric and generalized projection operators in Banach spaces

被引：12
|
作者：
Alber, Yakov [1 ]
Li, Jin Lu
机构：
[1] Shawnee State Univ Portsmouth, Dept Math Sci, Portsmouth, OH 45662 USA
[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 06期
关键词：
Banach spaces; normalized duality mappings; metric and generalized projection operators; variational inequalities; minimization problems; closed and convex subsets and cones;
D O I：
10.1007/s10114-005-0718-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the connection between the metric projection operator P-K : B -> K, where B is a reflexive Banach space with dual space B* and K is a non-empty closed convex subset of B, and the generalized projection operators Pi(K) : B -> K and pi(K) : B* -> K. We also present some results in non-reflexive Banach spaces.
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页码：1109 / 1120
页数：12
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