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MINTY VARIATIONAL INEQUALITIES AND MONOTONE TRAJECTORIES OF DIFFERENTIAL INCLUSIONS

In (8) the notion of "projected differential equation" has been introduced and the stability of solutions has been studied by means of Stampacchia type variational inequalities. More recently, in (20), Minty variational inequalities have been involved in the study of proper- ties of the trajectories of such a projected differential equation. We consider classical generalizations of both problems, namely projected differential inclusions and variational inequalities with point to set operators, and we extend results stated in (20) to this setting. Moreover, we also apply the results to describe the convergence of the trajectories of a generalized gradient inclusion method.