Buch, Englisch, 264 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 588 g
Theory and Applications
Buch, Englisch, 264 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 588 g
Reihe: Springer Optimization and Its Applications
ISBN: 978-1-4614-1018-8
Verlag: Springer
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.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
- Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
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.