Some Iterative Algorithms for Solving Mixed Variational Inequalities
نویسندگان
چکیده
In this paper, we propose two new methods for solving mixed quasi variational inequalities by using the resolvent operator technique. Under certain conditions, the global convergence of the both methods is proved. The skew-symmetry of the nonlinear bifunction plays a crucial part in the convergence analysis of these new iterative methods. The comparison of these methods with other methods for solving the mixed quasi variational inequalities is an open interesting problem.
منابع مشابه
Some iterative algorithms for solving regularized mixed quasi variational inequalities
In this paper, we use the auxiliary principle technique coupled with the principle of iterative regularization to suggest and analyze some new iterative algorithms for solving mixed quasi variational inequalities. We also study the convergence criteria of these algorithms under some suitable and mild conditions. Several special cases are also considered. Results obtained in this paper continue ...
متن کاملIterative algorithms for families of variational inequalities fixed points and equilibrium problems
متن کامل
Iterative Schemes for Solving Mixed Variational-Like Inequalities
In the present paper, we introduce the concept of η-cocoercivity of a map and develop some iterative schemes for finding the approximate solutions of mixed variational-like inequalities. We use the concept of η-cocoercivity to prove the convergence of the approximate solutions to the exact solution of mixed variational-like inequalities.
متن کاملIterative Schemes for a Class of Mixed Trifunction Variational Inequalities
We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality. The mixed trifunction variational inequality includes the trifunction variational inequalities and the classical variational inequalities as special cases. Convergence of these iterative methods ...
متن کاملExistence and convergence theorems for the new system of generalized mixed variational inequalities in Banach spaces
In this article, we introduce and consider the three-step iterative algorithms for solving a new system of generalized mixed variational inequalities involving different three multi-valued operators. In this study, we use a generalized f-projection method for finding the solutions of generalized system of mixed variational inequalities in Banach spaces. Our result in this article improves and g...
متن کامل