给出随机内积模上一类变分不等式的解的存在性定理.在随机内积空间中,利用随机闭凸子集的最佳逼近元及投影算子的理论,研究了一比较广泛的强非线性变分不等式的解的存在性及其收敛性.
The paper shows the existence theorems of the solutions for one class variational inequalities in random inner product module. It also studies the existence of the solutions for one class strongly nonlinear quasivariational and its convergence by using the best approximation of random closed convex subset and projection operator theory.