Generalized properly efficient solutions of vector optimization problems

被引：0

作者：

D. E. Ward

G. M. Lee

机构：

[1] Department of Mathematics and Stastistics,

[2] Miami University,undefined

[3] Oxford,undefined

[4] Ohio 45056-1641,undefined

[5] U.S.A. (e-mail: wardde@muohio.edu),undefined

[6] Department of Applied Mathematics,undefined

[7] Pukyong National University,undefined

[8] Pusan 608-737,undefined

[9] Korea,undefined

来源：

Mathematical Methods of Operations Research | 2001年 / 53卷

关键词：

Key words: vector optimization problem; proper efficiency; tangent cone; subgradient; necessary optimality conditions;

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中图分类号：

学科分类号：

摘要：

Generalized properly efficient solutions of a vector optimization problem (VP) are defined in terms of various tangent cones and a generalized directional derivative. We study their basic properties and relationships and show that under certain conditions, a generalized properly efficient solution of (VP), defined by the adjacent cone, is a generalized Kuhn-Tucker properly efficient solution of (VP). Furthermore, using subgradients defined by closed convex tangent cones, we give a necessary optimality condition for a generalized properly efficient solution of (VP) defined by the adjacent cone.

引用

页码：215 / 232

页数：17