摘要
讨论了Ｂａｎａｃｈ空间约束向量极值问题，给出了Ｂａｎａｃｈ空间择一性定理。据此研究了向量极值问题的最优性条件，对偶定理和鞍点定理。
The constraint vector extremum problem in real Banach space stated as max{f(x)|x∈D}(where f:X→Y and is discussed and the aItemative theorem is given for general-ized systems in the space. The derivation of the optimality conditions,duality theorem andsaddle-point theorem of the vector extremum problem are studied.The necessary and suffi-cient conditions for the problem are obtained and the scalarization for solving the efficient so-lutions of the problem is presented.
出处
《华中理工大学学报》
CSCD
北大核心
1995年第A01期82-88,共7页
Journal of Huazhong University of Science and Technology
关键词
择一性
向量极值
巴拿赫空间
alternative
vector extremum
Banach space
optimality condition
