变分不等式解集性质的刻画

An Example on Variational Inequalities

利用凸分析理论给出了无穷维Banach空间中变分不等式解集收缩锥的刻画,推广了有限维空间中刻画变分不等式解集有界性的对应结果,并通过一个例子说明了单调性假设在等价刻画解集有界性中的重要作用.

The authors characterize solutions to variational inequalities in terms of recession cone and provide an example to show that a coerciveness condition is, though sufficient, not necessary for variational inequalities to have nonempty and bounded solution set.