
Well-Posed Optimization Problems
Springer (Publisher)
Published on 14. June 1993
Book
Paperback/Softback
XII, 424 pages
978-3-540-56737-0 (ISBN)
Description
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, calculus of variations and mathematical programming are considered. Both the pure and applied side of these topics are presented. The main subject is often introduced by heuristics, particular cases and examples. Complete proofs are provided. The expected knowledge of the reader does not extend beyond textbook (real and functional) analysis, some topology and differential equations and basic optimization. References are provided for more advanced topics. The book is addressed to mathematicians interested in optimization and related topics, and also to engineers, control theorists, economists and applied scientists who can find here a mathematical justification of practical procedures they encounter.
More details
Series
Edition
1993 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 424 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 24 mm
Weight
657 gr
ISBN-13
978-3-540-56737-0 (9783540567370)
DOI
10.1007/BFb0084195
Schweitzer Classification
Content
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.