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中文摘要：
考虑求解一类变分不等式问题的新的自适应投影算法，该算法改进了搜索的方向和步长，改进的方向、步长在解点附近均不趋于0，保证算法的快速收敛性。并在伪单调的条件下证明了算法是全局收敛的，使得该算法的适用性更广。数值实验表明算法是有效的。
英文摘要：
We propose a new self-adaptive projection method with improved direction and stepsize for solving variational inequality problems. The improved direction and step-size will not be zero when the iteration is near the solution, which make the method converge quickly. We proved that under the condition that the function F is pesudomotone, the sequence generated by the meth- od converges to a solution of the variational inqueality problem globally, thus the method can be used extensively. Some preliminary computational results are reported, which illustrate that the new method is efficient.
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