Weak efficiency in vector optimization using a closure of algebraic type under cone-convexlikeness

被引：48

作者：

Adán, M

Novo, V

机构：

[1] UCLM, EUIT Agr, Dept Matemat Aplicada, Ciudad Real 13071, Spain

[2] Univ Nacl Educ Distancia, ETSI Ind, Dept Matemat Aplicada, Madrid 28080, Spain

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2003年 / 149卷 / 03期

关键词：

generalized convexlikeness; vector-convexlikeness; vector optimization; weak efficiency;

D O I：

10.1016/S0377-2217(02)00444-7

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

We introduce a new concept of algebraic type of closure in real linear spaces which is called vector closure. The properties of this are nearer to the topological closure than the algebraic closure. Through this closure we introduce new concepts of generalized convexlikeness, with which it is possible to characterize the weakly efficient solutions in vector optimization (with and without constraints) through scalarization, multiplier rule and saddle-point theorems. (C) 2002 Published by Elsevier Science B.V.

引用

页码：641 / 653

页数：13

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