An iterative algorithm for variational inequalities

An Iterative Algorithm for System of Mixed Variational–like Inequalities

In this paper we consider a system of mixed variational-like inequalities (for short, SMVLI) involving nondifferentiable terms, and its related system of auxiliary problems in the setting of real Hilbert spaces. An existence theorem for the system of auxiliary problems is established. By exploiting this theorem, an iterative algorithm for SMVLI is constructed. We derive the existence of a uniqu...

On an iterative algorithm for variational inequalities in Banach spaces

In this paper, we suggest and analyze a new iterative method for solving some variational inequality involving an accretive operator in Banach spaces. We prove the strong convergence of the proposed iterative method under certain conditions. As a special of the proposed algorithm, we proved that the algorithm converges strongly to the minimum norm solution of some variational inequality. AMS su...

On an iterative algorithm for general variational inequalities

In this paper, we suggest and analyze a new three-step iterative algorithm for solving the general variational inequalities. We also study the global convergence of the proposed method under some mild conditions. Since the general variational inequalities include variational inequalities, quasi variational inequalities and quasi complementarity problems as special cases, one can deduce similar ...

An Iterative Algorithm for Generalized Mixed Equilibria with Variational Inequalities

In this paper, we shall introduce an iterative algorithm by multi-step implicit hybrid steepestdescent method for finding a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set of solutions of a finite family of variational inequalities for inverse strongly monotone mappings and the set of fixed points of a countable family of nonexpansive...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points