Regularity Concepts in Nonsmooth Analysis: Theory and Applications / Edition 1

by Messaoud Bounkhel

Overview

The results presented in this book are a product of research conducted by the author independently and in collaboration with other researchers in the field. In this light, this work encompasses the most recent collection of various concepts of regularity and nonsmooth analysis into one monograph. The first part of the book attempts to present an accessible and thorough introduction to nonsmooth analysis theory. Main concepts and some useful results are stated and illustrated through examples and exercises. The second part gathers the most prominent and recent results of various regularity concepts of sets, functions, and set-valued mappings in nonsmooth analysis. The third and final section contains six different application, with comments in relation to the existing literature.

Product Details

ISBN-13:	9781461410188
Publisher:	Springer New York
Publication date:	11/12/2011
Series:	Springer Optimization and Its Applications , #59
Edition description:	2012
Pages:	264
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

1. Nonsmooth Concepts.- 2. Regularity.- 3. Regularity of Functions.- 4. Regularity of Set-Valued Mappings.- 5. First Order Differential Inclusions.- 6. Second Order Differential Inclusions.- 7. Quasi-Variational Inequalities.- 8. Time Dependent Quasi-Variational Inequalities.- 9. Economic Problems and Equilibrium Theory.- Index.