单调变分不等式可行与非可行点组合的连续算法

本文给出了单调变分不等式问题一个新的连续型求解方法，方法的实现依赖于一系列含有四个参数的摄动单调变分不等式的求解．其中摄动参数要求的条件较为温和，这使得本文方法成为可行点与非可行点算法的有机组合和统一．在适当的假设条件下，我们分析和证明了摄动变分不等式问题解的存在性，唯一性和算法的强收敛性．

A Combined Feasible-Nonfeasible Point Continuation Algorithm for Monotone Variational Inequalities

This paper presents a new continuation algorithm for monotone variational inequalityproblems, it dependes on the solving of a sequence of perturbed variational problems containning four parameters. Where the conditions for the perturbed parmeters are milder, and this make it to be a combined and unified algorithm of the feasible and nonfeasible methods.Under suitable hypotheses, we analyse the existence, uniqueness and strong convergence of the solutions to the perturbed variational inequality problems.