Characterizations of efficient and weakly efficient points in nonconvex vector optimization

被引：3
|
作者：
Zhao, Ke Quan [1 ]
Yang, Xin Min [1 ]
机构：
[1] Chongqing Normal Univ, Coll Math Sci, Chongqing 401331, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2015年 / 61卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Nonconvex vector optimization; Efficiency; Weak efficiency; Pseudoconvexity; Quasiconvexity; Linearizing cone; KUHN-TUCKER CONDITIONS; MULTIOBJECTIVE OPTIMIZATION; CONSTRAINT QUALIFICATIONS; OPTIMALITY CONDITIONS; PROPER EFFICIENCY; SOLUTION SETS; CONES; CONVEXITY; RESPECT;
D O I：
10.1007/s10898-014-0191-1
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：
In this paper, a class of nonconvex vector optimization problems with inequality constraints and a closed convex set constraint are considered. By means of Clarke derivatives and Clarke subdifferentials, a necessary and sufficient condition of weak efficiency and a sufficient criteria of efficiency are presented under suitable generalized convexity. A special case is discussed in finite dimensional space and an equivalent version of sufficient criteria of efficiency is obtained by means of Clarke derivative and linearizing cone. Some examples also are given to illustrate the main results.
引用
收藏
页码：575 / 590
页数：16
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