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P. T. Harker, J. S. Pang. Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Mathematica Programming, 1900, 48(2): 161-220.

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• 标题: 一类混合变分不等式的次梯度法Subgradient Algorithm for a Form of Mixed Variational Inequalities

  作者: 郑超, 殷洪友, 王园萍

  关键字: 混合变分不等式, 非光滑, 最优性条件, 次梯度法Mixed Variational Inequalities; Nonsmooth; Optimal Condition; Subgradient

  期刊名称: 《Operations Research and Fuzziology》, Vol.3 No.1, 2013-05-15

  摘要: 本文研究了一类混合变分不等式问题.在扰动泛函非光滑的情况下，给出了这类混合变分不等式的最优性条件，设计了次梯度算法，并证明了该算法的收敛性。This paper studies a form of mixed variational inequalities problem. When disturbance function is nonsmooth, the optimal condition of these mixed variational inequalities is proposed. Then subgradient is of-fered and its convergence is proved.