ε -变分不等式及其对偶性

ε -Variational Inequality and Its Duality

利用ε-次微分和凸函数的共轭函数,讨论Banach空间带集值映射的ε-变分不等式及其对偶性,给出无约束条件下凸优化问题的ε-最优解、ε-变分不等式及其对偶问题解之间的若干特征刻画。

Theε-variational inequality with set-valued mapping and its duality were discussed by theε-subdifferential and conjugate function of convex function in Banach space.Some characteristic relationships for solutions of problems discussing amongε-optimal solutions of convex optimization problems with non-constraint condition,ε-variational inequality and its duality were presented.