非线性混合拟似变分不等式的逼近迭代原理

摘要

In this paper, by applying the auxiliary principle technique, a proximal iterative method for solving nonlinear mixed quasivariational-like inequalities is suggested and analyzed. The convergence of the method requires only the pseudo-monotonicity of mappings, which is weaker condition than the monotonicity. This method and convergence results generalize some results in literatures.%利用辅助原理技术,建立和分析了求解非线性混合拟似变分不等式的逼近迭代原理,原理的收敛性仅需映象的伪单调性,此性质比单调性更弱.这种原理的收敛性结果推广了文献中某些已有结果.