The preparation of this second edition of our book was triggered by a rush of fresh
developments leading to many interesting results. The text has significantly been enlarged …

Many questions dealing with solvability, stability and solution methods for va-ational
inequalities or equilibrium, optimization and complementarity problems lead to the analysis …

This book introduces advanced numerical-functional analysis to beginning computer
science researchers. The reader is assumed to have had basic courses in numerical …

The analysis, processing, evolution, optimization and/or regulation, and control of shapes
and images appear naturally in engineering (shape optimization, image processing, visual …

A plethora of applications from diverse disciplines reduce to solving generalized equations
involving Banach space valued operators. These equations are solved mostly iteratively …

Variational analysis can be briefly described as the mathematics of optimization and control.
The name became commonly accepted after the publication of the book Variational Analysis …

We consider quasi-Newton methods for generalized equations in Banach spaces under
metric regularity and give a sufficient condition for q-linear convergence. Then we show that …

For a version of Newton's method applied to a generalized equation with a parameter, we
extend the paradigm of the Lyusternik–Graves theorem to the framework of a map** …

In this paper we prove that the Newton method applied to the generalized equation y∈ f (x)+
F (x) with a C1 function f and a set-valued map F acting in Banach spaces, is locally …

For solving the generalized equation f (x)+ F (x) ∋ 0, where f is a smooth function and F is a
set-valued map** acting between Banach spaces, we study the inexact Newton method …