Stampacchia型和Minty型似变分不等式解的性质
The Properties of the Solution in Stampacchia-Type and Minty-Type Variational-Like Inequalities

在实n维欧式空间Rn中利用上Dini方向导数构造了Minty型似变分不等式的间隙函数()G x ,并在此基础上讨论了Stampacchia型和Minty型这两类似变分不等式的解与()G x 的关系,得到了2类似变分不等式解集相等的1个充分条件.
Gap function G(x) of the Minty-type variational-like inequalities was constructed by upper Dini direc-tional derivative in a real n-dimensional Euclidean space. And some relations between solutions of Stampac-chia-type and Minty-type variational-like inequalities and G(x) are investigated. A sufficient condition of two class of variational-like inequality solution sets equal is obtained