A Second Order Dynamical System and Its Discretization for Strongly Pseudo-monotone Variational Inequalities

Generalized Quasi-Variational Inequalities for Pseudo- Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets

In this paper, the authors prove some existence results of solutions for a new class of generalized quasi-variational inequalities (GQVI) for pseudo-monotone type III operators and strongly pseudo-monotone type III operators defined on noncompact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GQVI for pseudo-monotone type III operators, we shall use Ch...

Solving strongly monotone variational and quasi-variational inequalities

In this paper we develop a new and efficient method for variational inequality with Lipschitz continuous strongly monotone operator. Our analysis is based on a new strongly convex merit function. We apply a variant of the developed scheme for solving quasivariational inequality. As a result, we significantly improve the standard sufficient condition for existence and uniqueness of their solutio...

A Relaxed Extra Gradient Approximation Method of Two Inverse-Strongly Monotone Mappings for a General System of Variational Inequalities, Fixed Point and Equilibrium Problems

Necessary Optimality Conditions for Control of Strongly Monotone Variational Inequalities

In this paper we derive necessary optimality conditions involving Mordukhovich coderivatives for optimal control problems of strongly monotone variational inequalities.

First-Order Sensitivity of Linearly Constrained Strongly Monotone Composite Variational Inequalities∗

Extending the characterization of the directional derivatives of a strongly regular solution to a variational inequality under parameter perturbations, this paper derives a first-order sensitivity result for a monotone-plus affine variational inequality (AVI) having non-isolated solutions. The result employs a “directional AVI” whose solutions provide the directional derivatives, if they exist,...