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可弱极大化拟凹映象的存在性
EXISTENCE OF WEAK MAXIMIZABLE QUASICONCAVE MAPPING
【摘要】 本文中,我们考察了具有有效决策K-上半连续、K-拟凹映象的存在性条件问题,并且给出了有关此类映象的一个定理,其中映象从仿紧凸空间到有序的拓扑向量空间.定理的证明用到了Brouwer不动点定理.
【Abstract】 In the article, we investigate the conditions for the existence of a K-uppersemicontinuous ( K-usc ) , K-quasiconcave mapping with efficient decision, and present a theorem on the mappings from aparacompact convex space into an orderd topological vector space. The theorem is provea by the use of Brouwer fixed point theorem.
【关键词】 向量优化;
锥;
K-拟凹;
K-上半连续;
弱极大化;
【Key words】 vector optimization; cone; K-quasiconcave; K-upper-semicontinuous; weak maximization;
【Key words】 vector optimization; cone; K-quasiconcave; K-upper-semicontinuous; weak maximization;
- 【文献出处】 北方工业大学学报 ,Journal of North China University of Technology , 编辑部邮箱 ,1989年03期
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