摘要
本文在Ｂａｎａｃｈ空间中定义了广义ρ－不变凸等一些广义凸性概念，借此探讨了Ｂａｎａｃｈ空间中向量最优化问题弱有效解（有效解）的Ｋｕｈｎ－Ｔｕｃｋｅｒ型充分条件与ＦｒｉｔｚＪｏｈｎ型充分条件．
This paper defines some concepts of generalized convexity in Banach spaces.Under these generalized convexity assumptions,it proves some sufficient conditions for weakly efficient solution(efficient solution)of vector optimization problem in Banach spaces, which include KuhnTucker sufficient conditions and Fritz John sufficient conditions.
出处
《武汉城市建设学院学报》
1996年第2期69-75,共7页
Journal of Wuhan Urban Construction Institute
关键词
向量
最优化
广义ρ-不变凸
充分条件
vector optimization problem
general ρ-index
Kuhn-Tucker sufficient condition
Fritz John sufficient condition
