TOPOLOGICAL-STRUCTURE OF EFFICIENT SET OF OPTIMIZATION PROBLEM OF SET-VALUED MAPPING

被引:0
|
作者
LI, YX [1 ]
机构
[1] FUDAN UNIV,DEPT STAT & OPERAT RES,SHANGHAI 200433,PEOPLES R CHINA
关键词
OPTIMIZATION OF SET-VALUED MAPPING; VECTOR OPTIMIZATION; EFFICIENT SOLUTION; CONE-CONVEXITY; CONE-QUASICONVEXITY; CLOSEDNESS; CONNECTEDNESS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is concerned with the topological structure of efficient sets for optimization problem of set-valued mapping. It is proved that these sets are closed or connected under some conditions on cone-continuity, cone-convexity and cone-quasiconvexity.
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页码:115 / 122
页数:8
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