Well-Posed Optimization Problems [electronic resource] by Assen L. Dontchev, Tullio Zolezzi.

This book presents in a unified way the mathematical theory of well-posedness in optimization. The basic concepts of well-posedness and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. Abstract optimization problems as well as applications to optimal control, cal...

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Bibliographic Details
Uniform Title:Lecture Notes in Mathematics, 1617-9692 ; 1543
Main Authors: Dontchev, Assen L. (Author)
Zolezzi, Tullio (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.
Edition:1st ed. 1993.
Series:Lecture Notes in Mathematics, 1543
Subjects:
System theory.
Control theory.
Mathematical optimization.
Calculus of variations.
Econometrics.
Online Access:
Springer Book Archive - Mathematics: 1993 (Springer Link)
Format: Electronic eBook
Contents:
  • Tykhonov well-posedness
  • Hadamard and tykhonov well-posedness
  • Generic well-posedness
  • Well-posedness and variational, epi- and mosco convergences
  • Well-posedness in optimal control
  • Relaxation and value hadamard well-posedness in optimal control
  • Singular perturbations in optimal control
  • Well-posedness in the calculus of variations
  • Hadamard well-posedness in mathematical programming.