ON THE EXISTENCE OF EFFICIENT POINTS IN LOCALLY CONVEX-SPACES

被引：1

作者：

HA, TXD ^{[1
]}

机构：

[1] INST MATH,HANOI,VIETNAM

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 1994年 / 4卷 / 03期

关键词：

MULTIOBJECTIVE OPTIMIZATION; EFFICIENT POINT; DOMINATION PROPERTY;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study the existence of efficient points in a locally convex space ordered by a convex cone. New conditions are imposed on the ordering cone such that for a set which is closed and bounded in the usual sense or with respect to the cone, the set of efficient points is nonempty and the domination property holds.

引用

页码：265 / 278

页数：14

共 50 条

[1] NEW EXISTENCE RESULTS FOR EFFICIENT POINTS IN LOCALLY CONVEX-SPACES ORDERED BY SUPERNORMAL CONES
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[J]. JOURNAL OF GLOBAL OPTIMIZATION, 1993, 3 (02) : 233 - 242
[2] THE EXISTENCE OF SOLUTIONS TO CONVEX-OPTIMIZATION PROBLEMS IN LOCALLY CONVEX-SPACES
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[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1981, 4 (02) : 191 - 197
[3] ON THE CONNECTEDNESS OF THE SET OF WEAKLY EFFICIENT POINTS OF A VECTOR OPTIMIZATION PROBLEM IN LOCALLY CONVEX-SPACES
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[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 65 (02) : 257 - 270
[4] FIXED-POINTS AND NONEXPANSIVE RETRACTS IN LOCALLY CONVEX-SPACES
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[J]. FUNDAMENTA MATHEMATICAE, 1984, 120 (01) : 63 - 75
[5] CONVEX MEASURES ON LOCALLY CONVEX-SPACES
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[6] APPROXIMATION ON LOCALLY CONVEX-SPACES
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[7] ON LIMITEDNESS IN LOCALLY CONVEX-SPACES
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[J]. ARCHIV DER MATHEMATIK, 1989, 53 (01) : 65 - 74
[8] CONVERGENCE AND LOCALLY CONVEX-SPACES
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[J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1975, 23 (11): : 1171 - 1173
[9] DILATIONS ON LOCALLY CONVEX-SPACES
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[J]. PACIFIC JOURNAL OF MATHEMATICS, 1982, 101 (01) : 185 - 192
[10] POLYTOPES IN LOCALLY CONVEX-SPACES
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[J]. MATHEMATISCHE ANNALEN, 1977, 229 (01) : 65 - 85

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