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2009 | Buch

Set-Valued Analysis

verfasst von: Jean-Pierre Aubin, Hélène Frankowska

Verlag: Birkhäuser Boston

Buchreihe : Modern Birkhäuser Classics

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“An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student.” (The Journal of the Indian Institute of Science)

“The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes…results with many historical comments giving the reader a sound perspective to look at the subject…The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis.” (Mathematical Reviews)

“This book provides a thorough introduction to multivalued or set-valued analysis...Examples in many branches of mathematics, given in the introduction, prevail [upon] the reader the indispensability [of dealing] with sequences of sets and set-valued maps…The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis.” (Zentralblatt Math)

Inhaltsverzeichnis

Frontmatter
Chapter 1. Continuity of Set-Valued Maps
Jean-Pierre Aubin, Hèléne Frankowska
Chapter 2. Closed Convex Processes
Jean-Pierre Aubin, Hèléne Frankowska
Chapter 3. Existence and Stability of an Equilibrium
Jean-Pierre Aubin, Hèléne Frankowska
Chapter 4. Tangent Cones
Jean-Pierre Aubin, Hèléne Frankowska
Chapter 5. Derivatives of Set-Valued Map
Jean-Pierre Aubin, Hèléne Frankowska
Chapter 6. Epiderivatives of Extended Function
Jean-Pierre Aubin, Hèléne Frankowska
Chapter 7. Graphical & Epigraphical Convergence
Jean-Pierre Aubin, Hèléne Frankowska
Chapter 8. Measurability and Integration of Set-Valued Maps
Jean-Pierre Aubin, Hèléne Frankowska
Chapter 9. Selections and Parametrization
Jean-Pierre Aubin, Hèléne Frankowska
Chapter 10. Differential Inclusions
Jean-Pierre Aubin, Hèléne Frankowska
Backmatter
Metadaten
Titel
Set-Valued Analysis
verfasst von
Jean-Pierre Aubin
Hélène Frankowska
Copyright-Jahr
2009
Verlag
Birkhäuser Boston
Electronic ISBN
978-0-8176-4848-0
Print ISBN
978-0-8176-4847-3
DOI
https://doi.org/10.1007/978-0-8176-4848-0