This paper is concerned with the study of solution existence of variational inequalities and generalized variational inequalities in reflexive Banach spaces with pseudomonotone operators in the sense of H. Brézis. The obtained results covers some preceding results in [4], [11] and [14].

In this paper, we introduce a new class of operators. We present some fundamental properties of the operators belonging to this class and, as applications, we establish some existence results of the solutions for several general variational inequalities involving elements belonging to this class.

In this paper, we propose some modified projection methods for general variational inequalities. The convergence of these methods requires the monotonicity of the underlying mapping. Preliminary computational experience is also reported.

The paper analyses various proposals for the organization of regional electricity transmission in terms of the market incompleteness that they may implicitly assume. Elementary notions of variational inequalities constitute the analytical tool used throughout the paper. The discussion is conducted with reference to the flow gate debate in California and European proposals for the organization o...