摘要
引进了一类集值映射的广义梯度,证明了在一定条件下广义梯度的存在性,给出了集值映射优化问题一些有效解的最优性条件.
A generalized gradient of set - valued mapping is introduced. Its existence is proved by theorem and the optimality conditions of some efficient solutions of set - valued optimization problems are presented in generalized gradient.
出处
《佳木斯大学学报(自然科学版)》
CAS
2007年第5期657-659,共3页
Journal of Jiamusi University:Natural Science Edition
基金
贵州省科技厅基金课题(NO2003301)
关键词
集值映射
弱有效解
广义梯度
集值优化
set- valued mapping
weekly efficient solution
generalized gradient
set- valued optimization