广义强非线性拟变分不等式和拟补问题解的扰动算法

PERTURBED ALGORITHMS OF SOLUTIONS FOR GENERALIZED STRONGLY NONLINEAR QUASI VARIATIONAL INEQUALITIES AND QUASI COMPLEMENTARITY PROBLEMS

本文进一步研究了由第一作者引入和研究的一类广义强非线性拟变分不等式和拟补问题．在另一类假设条件下证明了解的存在性，提出了一类新的求近似解的迭代算法——扰动算法。

This paper further studies a class of generalized strongly nonlinear quasivariational inequalities and quasicomplementarity problems introduced by the first author. Under other assuming conditions, some existence theorems of solutions are proved. A new perturbed algorithm for finding approximate solations is proposed and analysed. The convergence of new purturbed algorithm to the exact solution is proved.