摘要
研究了集值映射向量优化问题弱有效解的一些性质,引进了集值映射向量优化问题弱有效解的定义,并证明了集值映射向量优化问题弱有效解的几个连续性质以及具有某些性质的集值映射组成的空间是完备的.
In this paper,we conside the properties of weak effective solution of vector optimization prob- lems of set valued mapping. We introduce the conception of the weak effective solution of set valued mapping in the vector optimization problem and prove some properties of the weak effective solution and the space made of set valued mapping satisfying some properties is complete.
出处
《湖北民族学院学报(自然科学版)》
CAS
2009年第2期201-203,共3页
Journal of Hubei Minzu University(Natural Science Edition)
基金
国家自然科学基金资助项目(10561003)
湖北民族学院青年基金项目(2006034)
关键词
集值映射向量优化问题
弱有效解
连续
完备
vector optimization problems of set valued mapping
weak effective solution
continuous
complete