Jean-PaulPenot Arepresentationofmaximalmonotoneoperatorsbyclosedconvexfunctionsanditsimpactoncalculusrules

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

Invariant sets and Lyapunov pairs or functions associated to general differential inclusions/equations of the form of (1.1) have been the subject of extensive research during 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

HOMOGENIZATION OF ALMOST PERIODIC OPERATORS In this section we prove the homogenization theorem for general almost periodic monotone operators defined by functions of

Browder has constructed in [3] a degree function for maps of class (S)+, demicontinuous from el(G) to X*, which is normalized by J and reduces to the Leray-Schauder

We give a proof of convergence that does not use the concept of partial inverse and show how to choose a scaling factor to accelerate the convergence in the strongly monotone

It is clear that, due to semi-definiteness of the matrix P , there are certain static relations encoded in (1) which make it difficult to study the solutions of system class (1)

More precisely, it is shown that this method weakly converges under natural assumptions and strongly converges provided that either the inverse of the involved operator is