The Existence of the Solution of the Extended General Mixed Variational Inequalities

摘要

By using the auxiliary principal technology, this work proposed the fixed function for a new class of the variational inequalities, which is called the extended general mixed variational inequalities. This actical firstly proved the existence and the uniqueness of the solution of the fixed function, then studied the existence of the solution of the extended general mixed variational inequalities, at last it suggested the expression by involving the resolvent operator.