Convexity and Well-Posed Problems

• Main Author: Lucchetti, Roberto (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2006.
• Series: CMS Books in Mathematics,
• Subjects: Mathematics.; Functional analysis.; Calculus of variations.; Operations research.; Management science.; Calculus of Variations and Optimal Control; Optimization.; Operations Research, Management Science.; Functional Analysis.

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,...

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.