摘要
在序线性空间中,引入(u,02;Y+)—广义次似凸集值映射,建立了此映射下的一个择一定理.利用此定理,在序线性空间中获得了带广义不等式约束的集值优化问题弱有效解的最优性必要条件和充分条件.
The （u,02;Y＋ ） -generalized subeonvexlike set-valued maps are introduced, and the alternative theorem of the maps is established in ordered linear spaces. Applying the theorem, the optimality necessary conditions and sufiqcient conditions for the weak efficient solutions to the set-valued optimization problems with generalized inequality constraints are ohmined in ordered linear spaces.
出处
《重庆交通学院学报》
2007年第2期160-163,共4页
Journal of Chongqing Jiaotong University
基金
重庆交通大学科学基金课题(2006-026)
关键词
序线性空间
集值优化问题
(u
02
Y+)一广义次似凸集值映射
择一定理
最优性条件
ordered linear spaces
set-valued optimization problems
（u，02；Y＋ ）-generalized subconvexlike set-valued maps
the alternative theorem
optimality conditions
