Set-Valued Analysis Page 1 5 Set-Valued Analysis Introduction This chapter relates the
notions of mutations with the concept of gmphical derivatives of set-valued maps and more …

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 …

In the last decades the subject of nonsmooth analysis has grown rapidly due to the
recognition that nondifferentiable phenomena are more widespread, and play a more …

We present a unified approach to a complex of related issues in control theory, one based to
a great extent on the methods of nonsmooth analysis. The issues include invariance …

A theory of necessary conditions for optimal multiprocesses is presented. Optimal
multiprocesses are solutions to dynamic optimization problems described by families of …

Nonsmooth analysis had its origins in the early 1970s when control theorists and nonlinear
programmers attempted to deal with necessary optimality conditions for problems with …

A general mathematical programming problem in which the constraints are defined by
multifunctions and depend on a parameter u, and the resulting value function m(u) are …

The dynamic envelope theorem is presented for optimal control problems with
nondifferential constraints. Some of these constraints may switch from binding to …

In this paper we study the bilevel dynamic problem, which is a hierarchy of two dynamic
optimization problems, where the constraint region of the upper level problem is determined …

In the classical calculus of variations, the question of regularity (smoothness or otherwise of
certain functions) plays a dominant role. This same issue, although it emerges in different …