Algorithms for Bilevel Pseudomonotone Variational Inequality Problems

ψ-pseudomonotone generalized strong vector variational inequalities with application

In this paper, we establish an existence result of the solution for an generalized strong vector variational inequality already considered in the literature and as applications we obtain a new coincidence point theorem in Hilbert spaces.    

Variational Inequalities and Pseudomonotone Functions: Some Characterizations

The paper provides some characterizations of (strictly) pseudomonotone and (strictly) monotone functions by properties of the solutions to the associated variational inequality problems. Moreover, an economic interpretation of the results is offered.

Research Article Nonlinear Vector Variational Inequality Problems for -Pseudomonotone Maps

A Class of Nonlinear Variational Inequalities Involving Pseudomonotone Operators Ram

We present the solvability of a class of nonlinear variational inequalities involving pseudomonotone operators in a locally convex Hausdorff topologi-cal vector spaces setting. The obtained result generalizes similar variation-al inequality problems on monotone operators.

On Equilibrium Problems Involving Strongly Pseudomonotone Bifunctions

We study equilibrium problems with strongly pseudomonotone bifunctions in real Hilbert spaces. We show the existence of a unique solution. We then propose a generalized strongly convergent projection method for equilibrium problems with strongly pseudomonotone bifunctions. The proposed method uses only one projection without requiring Lipschitz continuity. Application to variational inequalitie...