Neuware -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 introductionto nonsmooth analysis theory. Main concepts and some useful results are stated and illustrated through examples and exercises. The second part gathers the mostprominent and recent results of various regularity concepts of sets, functions, and set-valued mappings in nonsmooth analysis. Thethird and final sectioncontainssix different application, with comments in relation to the existing literature.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 280 pp. Englisch.

Bestandsnummer des Verk�ufers 9781461410188

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Titel: Regularity Concepts in Nonsmooth Analysis
Verlag: Springer New York, Springer New York Nov 2011
Ver�ffentlichungsdatum: 2011
Sprache: Englisch
ISBN-10: 1461410185
ISBN-13: 9781461410188
Bindung: Buch
Zustand: Neu

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Inhaltsangabe

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.

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Regularity concepts have played an increasingly important role in the applications of nonsmooth analysis, including differential inclusions, optimization, and variational inequalities. This heightened role has made it beneficial to introduce graduate students and young researchers to the basic concepts of regularity and their applications. This book is devoted to the study of various regularity notions in nonsmooth analysis and their applications. It is the first thorough study of the regularity of functions, sets, and multifunctions, as well as their applications to differential inclusions and variational inequalities.

Regularity Concepts in Nonsmooth Analysis is divided into three accessible parts. The first section presents a thorough introduction to nonsmooth analysis theory, using examples and exercises to explain main concepts and show useful results. The second part demonstrates the most recent results of various regularity concepts of sets, functions, and set-valued mappings in nonsmooth analysis. The final section addresses different applications, including first order and second order differential inclusions, quasi-variational, and equilibrium theory.

This book is designed for graduate students, researchers, and general practitioners interested in the applications of nonsmooth analysis.

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