Optimality conditions for a unified vector optimization problem with not necessarily preordering relations

被引：26

作者：

Flores-Bazan, Fabian ^{[1
]}

Hernandez, Elvira ^{[2
]}

机构：

[1] Univ Concepcion, Dept Ingn Matemat, CI2MA, Concepcion, Chile

[2] Univ Nacl Educ Distancia, Dept Matemat Aplicada, E-28040 Madrid, Spain

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2013年 / 56卷 / 02期

关键词：

Vector optimization; Efficiency; Approximate efficiency; Scalarization; Weak efficiency; Strict efficiency; Optimality conditions; Subdifferential; QUASI-CONVEX MAPPINGS; EFFICIENT SOLUTIONS; SCALARIZATION; THEOREM;

D O I：

10.1007/s10898-011-9822-y

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：

This paper studies a general vector optimization problem which encompasses those related to efficiency, weak efficiency, strict efficiency, proper efficiency and approximate efficiency among others involving non necessarily preordering relations. Based on existing results about complete characterization by scalarization of the solution set obtained by the same authors, several properties of (generalized) convexity and lower semicontinuity of the composition of the scalarizing functional and the objective vector function are studied. Finally, some optimality conditions are presented through subdifferentials in the convex and nonconvex case.

引用

页码：299 / 315

页数：17

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