CONE PREINVEX FUNCTIONS AND APPLICATIONS TO VECTOR OPTIMIZATION

被引：0
|
作者：
Liu, Caiping [1 ]
Yang, Xinmin [2 ]
Qiu, Qiusheng [3 ]
机构：
[1] SW Univ Finance & Econ, Coll Econ Math, Chengdu 611130, Peoples R China
[2] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China
[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
PACIFIC JOURNAL OF OPTIMIZATION | 2011年 / 7卷 / 03期
关键词：
vector optimization; cone convexity; cone preinvexity; optimality conditions; SET-VALUED MAPS; GENERALIZED INVARIANT MONOTONICITY; INVEXITY; THEOREM;
D O I：
暂无
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, cone preinvex and related functions have been studied. The concept of cone subpreinvex functions is introduced. Some properties of cone subpreinvex functions have been established and their relationships with cone convex, cone subconvex, cone preinvex functions have been explored. Under the condition of cone subpreinvex functions, optimality conditions for vector valued minimization problems are obtained over topological vector space. A Mond-Weir type dual problems are formulated. The duality results are established under the condition of cone subpreinvex functions.
引用
收藏
页码：591 / 598
页数：8
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