In this paper, we propose an easily implementable algorithm in Hilbert spaces for solving
some classical monotone variational inequality problem over the set of solutions of mixed …

We investigate the global exponential stability of equilibrium solutions of a projected
dynamical system for variational inequalities. Under strong pseudomonotonicity and …

We present a bundle method for solving nonsmooth convex equilibrium problems based on
the auxiliary problem principle. First, we consider a general algorithm that we prove to be …

We apply the Banach contraction-mapping fixed-point principle for solving multivalued
strongly monotone variational inequalities. Then, we couple this algorithm with the proximal …

This paper is devoted to the stability analysis for a class of Minty mixed variational
inequalities in reflexive Banach spaces, when both the mapping and the constraint set are …

In this paper, we propose a subgradient extragradient method for solving multi-valued
variational inequality. It is showed that the method converges globally to a solution of multi …

We present some extragradient algorithms for solving variational inequalities including
classical variational inequality, multivalued variational inequality and general variational …

Semi-infinite problem (SIPs) are widely used in many control systems for solving complex
control problem, such as polymerase chain reaction control system or other real time control …

We generalize the projection method for solving strongly monotone multivalued variational
inequalities when the cost operator is not necessarily Lipschitz. At each iteration at most one …

In this paper, we propose a double projection algorithm for a generalized variational
inequality with a multi-valued mapping. Under standard conditions, our method is proved to …