Regularity Concepts in Nonsmooth Analysis: Theory and Applications

✍ Scribed by Messaoud Bounkhel (auth.)

• Publisher: Springer-Verlag New York
• Year: 2012
• Tongue: English
• Leaves: 278
• Series: Springer Optimization and Its Applications 59
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xv
Front Matter....Pages 1-1
Nonsmooth Concepts....Pages 3-30
Front Matter....Pages 31-31
Regularity of Sets....Pages 33-71
Regularity of Functions....Pages 73-85
Regularity of Set-Valued Mappings....Pages 87-124
Front Matter....Pages 125-125
First Order Differential Inclusions....Pages 127-164
Second Order Differential Inclusions....Pages 165-209
Quasi-Variational Inequalities....Pages 211-225
Economic Problems and Equilibrium Theory....Pages 227-246
Back Matter....Pages 247-261

✦ Subjects

Optimization; Calculus of Variations and Optimal Control; Optimization