The Connection Between the Metric and Generalized Projection Operators in Banach Spaces

被引：0
|
作者：
Yakov ALBER [1 ]
机构：
[1] Department of Mathematics,Technion Israel Institute of Technology,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：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
In this paper we study the connection between the metric projection operator P:B→K,where B is a reflexive Banach space with dual space B~* and K is a non-empty closed convex subset ofB,and the generalized projection operators П:B→K and π:B~*→K.We also present someresults in non-reflexive Banach spaces.
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页码：1109 / 1120
页数：12
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