We study a precomposition of a maximal monotone operator with linear mappings, which preserves the maximal monotonicity in the setting of reflexive Banach spaces. Instead of using the adjoint of such linear operators, as ...

By using a regularization method, we study in this paper the global existence and uniqueness property of a new variant of non-convex sweeping processes involving maximal monotone operators. The system can be considered as ...

We study a precomposition of a maximal monotone operator with linear mappings, which preserves the maximal monotonicity in the setting of reflexive Banaph spaces. Instead of using the adjoint of such linear operators, as ...

We characterize in Hilbert spaces the boundary of the values of maximal monotone operators, by means only of the values at nearby points, which are close enough to the reference point but distinct of it. This allows to ...

Representation formulas for faces and support functions of the values of maximal monotone operators are established in two cases: either the operators are defined on reflexive and locally uniformly convex real Banach spaces ...

We give new criteria for weak and strong invariant closed sets for differential inclusions in Double-struck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators. ...

© 2018, Springer-Verlag GmbH Germany, part of Springer Nature and Mathematical Optimization Society. We study the behavior of the trajectories of a second-order differential equation with vanishing damping, governed by the ...

We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation ...