NECESSARY CONDITIONS FOR EFFICIENT SOLUTION OF VECTOR OPTIMIZATION PROBLEMS

被引：0

作者：

Xunhua GONG

机构：

[1] DepartmentofMathematics,NanchangUniversity

来源：

Journal of Systems Science & Complexity | 2012年 / 25卷 / 03期

关键词：

Efficient solution; Frechet derivative; necessary conditions; vector optimization;

D O I：

暂无

中图分类号：

O224 [最优化的数学理论];

学科分类号：

070105 ; 1201 ;

摘要：

<正>In this paper,by using Ljusternik's theorem and the open mapping theorem of convex process,the author gives necessary conditions for the efficient solution to the vector optimization problems without requiring that the ordering cone in the objective space has a nonempty interior.

引用

页码：514 / 520

页数：7

共 10 条

[1] Optimality conditions for proper efficient solutions of vector set-valued optimization [J].

Gong, XH ;

Dong, HB ;

Wang, SY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 284 (01) :332-350

[2]

Set-valued derivatives of multifunctions and optimality conditions[J] . A. Taa. Numerical Functional Analysis and Optimization . 1998 (1-2)

[3]

Lagrangian Multipliers, Saddle Points, and Duality in Vector Optimization of Set-Valued Maps[J] . Zhong-Fei Li,Guang-Ya Chen. Journal of Mathematical Analysis and Applications . 1997 (2)

[4] Lagrangian duality for minimization of nonconvex multifunctions [J].

Song, W .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 93 (01) :167-182

[5] GENERALIZATIONS OF SLATERS CONSTRAINT QUALIFICATION FOR INFINITE CONVEX-PROGRAMS [J].

JEYAKUMAR, V ;

WOLKOWICZ, H .

MATHEMATICAL PROGRAMMING, 1992, 57 (01) :85-101

[6] CONTINGENT DERIVATIVES OF SET-VALUED MAPS AND APPLICATIONS TO VECTOR OPTIMIZATION [J].

LUC, DT .

MATHEMATICAL PROGRAMMING, 1991, 50 (01) :99-111

[7] ANOTHER APPLICATION OF GUIGNARDS GENERALIZED KUHN-TUCKER CONDITIONS [J].

NIEUWENHUIS, JW .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1980, 30 (01) :117-129

[8] DUALITY THEORY IN MULTIOBJECTIVE PROGRAMMING [J].

TANINO, T ;

SAWARAGI, Y .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1979, 27 (04) :509-529

[9]

An application of Guignard's generalized Kuhn-Tucker conditions[J] . P. J. Bender. Journal of Optimization Theory and Applications . 1978 (4)

[10]

Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives[J] . P. L. Yu. Journal of Optimization Theory and Applications . 1974 (3)

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