Variational analysis has been recognized as a fruitful area in mathematics that on the one
hand deals with the study of optimization and equilibrium problems and on the other hand …

We develop a generalized differentiation theory for nonsmooth functions and sets with
nonsmooth boundaries defined in Asplund spaces. This broad subclass of Banach spaces …

This monograph is based on a series of lectures given at a Regional Conference held at
Emory University, Atlanta, Georgia, in 1986. The subjects treated here have been in an …

This paper is concerned with variants of the sweeping process introduced by JJ Moreau in
1971. In Section 4, perturbations of the sweeping process are studied. The equation has the …

Approximation by proximal normals to the Clarke generalized subdifferential for a distance
function generated by a nonempty closed set and the normal cone to the set generated by …

We extend the theory of necessary conditions for nonsmooth problems of Bolza in three
ways: first, we incorporate state constraints of the intrinsic type $ x (t)\in X (t) $ for all $ t $; …

In 1977, Hedy Attouch established that a sequence of (closed proper) convex functions epi-
converges to a convex function if and only if the graphs of the subdifferentials converge (in …

We consider an optimal control problem in which the dynamic equation and cost function
depend on the recent past of the trajectory. The regularity assumed in the basic data is …

We prove several existence theorems for the second-order differential inclusion of the form
̇ x (t) ∈ G (x (t)), ̈ x (t) ∈-N_ G (x (t)) ̇ x (t)+ F (t, T (t) x) in the case when F or both G and F …

We discuss the existence of BV and Lipschitzean solutions for the sweeping process
associated to a nonconvex closed moving set and its applications to a new class of evolution …