Convexity and Well-Posed Problems
Intended for graduate students especially in mathematics, physics, and economics, this book deals with the study of convex functions and of their behavior from the point of view of stability with respect to perturbations. The primary goal is the study of the problems of stability and well-posedness,...
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer New York
2006, 2006
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Edition: | 1st ed. 2006 |
Series: | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Convex sets and convex functions: the fundamentals
- Continuity and ?(X)
- The derivatives and the subdifferential
- Minima and quasi minima
- The Fenchel conjugate
- Duality
- Linear programming and game theory
- Hypertopologies, hyperconvergences
- Continuity of some operations between functions
- Well-posed problems
- Generic well-posedness
- More exercises