【摘要】 在Hilbert空间中,引入和研究了一类包含n个不同算子和n个不同泛函的广义混合变分不等式组,利用η-次微分算子的预解式技术,给出了一个求解此类变分不等式组的显式n步迭代算法;最后证明了该算法在适当的条件下收敛.所得的结果推广和改进了目前一些文献只讨论了包含一个非线性算子的变分不等式组以及所提出算法是隐式的结果.更多还原

【Abstract】 A new system of generalized mixed variational inequalities involving n different operators and n different functions is introduced and studied in Hilbert space.By employing the resolvent operator technique of η-subdifferential operator,a new explicit n-step iterative method for this system of generalized mixed variational inequalities was suggested and analyzed.The new iterative method converges under certain mild conditions.The result extends some documents which study the system of variational inequlities including only one nonlinear operator and also improves the result to show the method is implicit.更多还原