应用辅助变分原则研究了一类新的弱广义混合变分不等式,证明了辅助问题解的存在性及弱广义混合变分不等式解的存在性.也证明了迭代算法序列的收敛性.
In this paper, the authors use the auxiliary principle technique to study a class of weakly generalized mixed variational inequalities which are new. The authors prove the existence of the solution of the auxiliary problem for the weakly generalized mixed variational inequalities and show the existence of the solution by using the auxiliary principle technique; and the convergence of iterative sequences generated by the algorithm is also proved.