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,...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lucchetti, Roberto (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Temas:
Mathematical optimization.
Calculus of variations.
Operations research.
Management science.
Functional analysis.
Calculus of Variations and Optimization.
Operations Research, Management Science .
Functional Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

Ejemplares similares