Erratum: Optimal Control of Strongly Monotone Variational Inequalities

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.

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...

Optimal Control of Variational Inequalities

We consider control problems for the variational inequality describing a single degree of freedom elasto-plastic oscillator. We are particularly interested in finding the ”critical excitation”, i.e., the lowest energy input excitation that drives the system between the prescribed initial and final states within a given time span. This is a control problem for a state evolution described by a va...

Operator-Splitting Methods for Monotone Affine Variational Inequalities, with a Parallel Application to Optimal Control

This paper applies splitting techniques developed for set-valued maximal monotone operators to monotone aane variational inequalities, including as a special case the classical linear comple-mentarity problem. We give a uniied presentation of several splitting algorithms for monotone operators, and then apply these results to obtain two classes of algorithms for aane variational inequalities. T...

Monotone Iterations for Eliptic Variational Inequalities