Strong efficiency in a locally convex space

被引：0

作者：

Y. H. Cheng

W. T. Fu

机构：

[1] Institute of Systems Science,

[2] Academia Sinica,undefined

[3] Beijing,undefined

[4] 100080,undefined

[5] China (e-mail: yhcheng@iss05.iss.ac.cn),undefined

[6] Department of Mathematics,undefined

[7] University of Nanchang,undefined

[8] Nanchang,undefined

[9] 330047,undefined

[10] China,undefined

来源：

Mathematical Methods of Operations Research | 1999年 / 50卷

关键词：

Key words: Base for a cone; proper efficiency; strong efficiency;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A new kind of proper efficiency, namely strong efficiency, is introduced in a locally convex space. Strong efficiency generalizes Borwein's super efficiency and refines other proper efficiency. We provide a scalar characterization for strongly efficient points and study the section property and density of the set of strongly efficient points.

引用

页码：373 / 384

页数：11

共 50 条

[31] Some generalizations of locally and weakly locally uniformly convex space
Zhang, Z. H.
Liu, C. Y.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (12) : 3896 - 3902
[32] The domination property for efficiency in locally convex spaces
Zheng, XY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 213 (02) : 455 - 467
[33] Locally convex spaces with the strong Gelfand–Phillips property
Taras Banakh
Saak Gabriyelyan
Annals of Functional Analysis, 2023, 14
[34] The Strong Trotter Property for Locally μ-Convex Lie Groups
Hanusch, Maximilian
JOURNAL OF LIE THEORY, 2020, 30 (01) : 25 - 32
[35] GROTHENDIECKS CHARACTERIZATION OF COMPLETION OF A LOCALLY CONVEX SPACE
DEVITO, CL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (04): : 640 - &
[36] Approximation of Surface Measures in a Locally Convex Space
É. Yu. Shamarova
Mathematical Notes, 2002, 72 : 551 - 568
[37] Approximation of surface measures in a locally convex space
Shamarova, ÉY
MATHEMATICAL NOTES, 2002, 72 (3-4) : 551 - 568
[38] CO-SEMIGROUPS ON A LOCALLY CONVEX SPACE
CHOE, YH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 106 (02) : 293 - 320
[39] REGULAR SPECTRAL OPERATORS ON A LOCALLY CONVEX SPACE
BERRUYER, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1968, 267 (19): : 686 - &
[40] REGULAR DECOMPOSABLE OPERATORS ON A LOCALLY CONVEX SPACE
BERRUYER, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 268 (26): : 1596 - &

← 1 2 3 4 5 →