一类变分问题及其应用

A Type of Generalized Variation Inequality and its Applications

在Banach空间中,引入广义的广义变分问题,得出了广义变分问题的解的存在性,并把它应用到最优化中的非线性最小问题及鞍点问题。

In Banach spaces, a generalized - variation inequality is introduced as an extension of the known or generalized meaning, i.e. as a generalized - generalized - variation inequality. Some properties, theoretical resuits and the solution existence theorem are proved, and its application is presented subsequently in the optimal field.