On Essential Stable Sets of Solutions in Set Optimization Problems

被引：0
作者：
Q. Q. Song
G. Q. Tang
L. S. Wang
机构：
[1] Guilin University of Technology,College of Science
[2] China Agricultural University,College of Science
来源：
Journal of Optimization Theory and Applications | 2013年 / 156卷
关键词：
Essential stability; Partial order; Set optimization; Minimal elements; 90C31; 46N10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper introduces the essential stability for set optimization problems. Some kinds of essential stable sets of weakly minimal and minimal solutions are shown. The graph of minimal solution mappings is not necessarily closed, which is different from weakly minimal solution mappings. The existence of minimum essential sets of minimal solutions is proved.
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页码：591 / 599
页数：8
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