Newton's method for solving a nonlinear equation of several variables is extended to a
nonsmooth case by using the generalized Jacobian instead of the derivative. This extension …

Modern problems in AI or in numerical analysis require nonsmooth approaches with a
flexible calculus. We introduce generalized derivatives called conservative fields for which …

Prox-regularity of a set (Poliquin-Rockafellar-Thibault, 2000), or its global version, proximal
smoothness (Clarke-Stern-Wolenski, 1995) plays an important role in variational analysis …

The book presents a treatment of topological and differential properties of multivalued
mappings and marginal functions. In addition, applications to sensitivity analysis of …

In this paper we address some of the most fundamental questions regarding the
differentiability structure of locally Lipschitz functions defined on separable Banach spaces …

We study a class of functions which contains both convex functions and differentiable
functions whose derivatives are locally Lipschitzian or Hölderian. This class is a subclass of …

A generalization of the class of lower Ck− functions introduced by RT Rockafellar [28] called
lower Tk− functions is proposed in the infinite dimensional case. Mappings of class T k are …

It is known that the subdifferential of a lower semicontinuous convex function f over a
Banach space X determines this function up to an additive constant in the sense that another …

These lectures center on the structure of real—valued Lipschitz functions, and their
generalized derivatives on Banach spaces. We pay some attention to the role of measure …

We consider concave and Lipschitz continuous preference functionals over monetary
lotteries. We show that they possess an envelope representation, as the minimum of a …