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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Bibliographic Details
Main Author: Lucchetti, Roberto
Format: eBook
Language:English
Published: New York, NY Springer New York 2006, 2006
Edition:1st ed. 2006
Series:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
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