Combined relaxation methods are convergent to a solution of variational inequality problems under rather mild assumptions and admit various auxiliary procedures within their two-level structure. In this work, we consider ...
In this paper, we describe a class of combined relaxation methods for the non strictly monotone nonlinear variational inequality problem, which involves a max-type convex function. This method is readily implementable and ...
When applied to variational inequalities, combined relaxation (CR) methods are convergent under mild assumptions. Namely, the underlying mapping need not be strictly monotone. In this paper, we describe a class of CR methods ...
A simple iterative method for solving variational inequalities with a set-valued, nonmonotone mapping and a convex feasible set is proposed. This set can be defined by nonlinear functions. The method is based on combining ...
A scalar equilibrium problem which involves a monotone differentiable cost bifunction is considered. For such bifunction, a skewsymmetric type property with respect to the partial gradients is established. This property ...
We consider a class of nonlinear problems which is intermediate between equilibrium and variational inequality ones. Several classes of applications of such problems are described. Iterative methods are proposed for finding ...
We consider a general class of variational inequality problems in a finite-dimensional space setting. The cost mapping need not be the gradient of any function. By using a right-hand side allocation technique, we transform ...