摘要
用α和η关于第一分量是仿射的且是斜对称的条件代替条件C,得到如下结论:(1)如果一个函数的梯度是(严格)αη-伪单调的,则该函数是(严格)伪αη-不变凸的;(2)如果一个函数的梯度是拟αη-单调的,则该函数是拟αη-不变凸的.
If α and η are affine in the first argument and skew instead of ConditionC,the following results are obtained：（i） if the gradient of a function is（strictly）αη-pseudomonotone,the function is（strictly） pseudo αη-invex;（ii） if the gradient of a function is quasi αη-monotone,the function is quasi αη-invex.
出处
《运筹学学报》
CSCD
2011年第2期11-18,共8页
Operations Research Transactions
基金
Supported by the Natural Science Foundation of China(No.10771228)
the Natural Science Foundation of Chongqing(No.CSTC,2010BB2090)
Education Commission project Research Foundation of Chongqing (No.KJ110617)
Chongqing Key Laboratory of Operations Research and System Engineering(No.CSTC, 2006CA8001)
关键词
数学规划
广义αη-单调性
广义αη-不变凸函数
仿射
mathematical programming
generalized αη-monotonicity
generalized αη-invex functions
affine
