一类变分不等式组迭代解的收敛性

Convergence Analysis for Iterative Solutions of General System of Variational Inequalities

本文研究了一类变分不等式组逼近解的收敛性问题.利用预解算子的技术注明,在一定的松弛强度,连续条件下,逼近解是收敛的.该结果大大减弱了文献(Applied Mathematics and Computation 214(2009)26-30)中的条件,而且明显地改进了该文中的迭代计算方法.

In this paper, the convergence result for the approximation solutions of a general system of variational inequalities is obtained via resolvent operator method Under some. proper rekaxed coercive condition, and continuity condition. It weakens the assumptions in Applied Mathematics and Computation 214 (2009)26-30, and improves the iterative computer method.