无条件C的广义αη-单调性的判别标准

摘要

If α and η are affine in the first argument and skew instead of Condition C, 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.%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.