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集值向量优化问题ε-超有效解集的连通性
Connectedness of ε-super Efficient Solution Set of Vector Optimization of Set-valued Maps
【摘要】 研究了赋范线性空间中集值向量优化问题ε-超有效解集的连通性,并证明了目标映射为锥拟凸的向量优化问题的ε-超有效解集是连通的.
【Abstract】 In this paper,we study the connectedness of ε-super efficient solution set of vector optimization set-value mapping in normed linear spaces.Under the condition that the objective mapping is cone quasiconvex,we obtain the connectedness of the set of ε-super efficient solution to vector optimization.
【关键词】 向量优化;
ε-超有效解;
连通性;
锥拟凸;
【Key words】 Vector optimization; ε-super efficient solution; Connectedness; Cone quasiconvex;
【Key words】 Vector optimization; ε-super efficient solution; Connectedness; Cone quasiconvex;
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2006年03期
- 【分类号】O189.11
- 【被引频次】6
- 【下载频次】52