PROJECTIONS ONTO CONES IN BANACH SPACES

被引：0

作者：

Domokos, A. ^{[1
]}

Marsh, M. M. ^{[1
]}

机构：

[1] Calif State Univ Sacramento, Dept Math & Stat, 6000 J St, Sacramento, CA 95819 USA

来源：

FIXED POINT THEORY | 2018年 / 19卷 / 01期

关键词：

Banach space; closed convex cone; metric projection; HILBERT-SPACE;

D O I：

10.24193/fpt-ro.2018.1.12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose to find algebraic characterizations of the metric projections onto closed, convex cones in reflexive, locally uniformly convex Banach spaces with locally uniformly convex dual.

引用

页码：167 / 177

页数：11

共 17 条

[1] [Anonymous], 1976, GEOMETRY BANACH SPAC
[2] [Anonymous], 1985, NONLINEAR FUNCTIONAL
[3] EXISTENCE OF BEST APPROXIMATIONS
DEUTSCH, F
[J]. JOURNAL OF APPROXIMATION THEORY, 1980, 28 (02) : 132 - 154
[4] Dragomir SS., 2004, Semi-Inner Products and Applications
[5] DIFFERENTIABILITY OF THE METRIC PROJECTION IN HILBERT-SPACE
FITZPATRICK, S
PHELPS, RR
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 270 (02) : 483 - 501
[6] GILES JR, 1967, T AM MATH SOC, V129, P436
[7] PROJECTIONS ONTO CONVEX CONES IN HILBERT-SPACE
INGRAM, JM
MARSH, MM
[J]. JOURNAL OF APPROXIMATION THEORY, 1991, 64 (03) : 343 - 350
[8] JAMES RC, 1947, T AM MATH SOC, V61, P265
[9] A note on the duality mapping of a locally uniformly convex Banach space
Kartsatos, Athanassios G.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5509 - 5512
[10] LARSEN R, 1973, FUNCTIONAL ANAL

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