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140122  eng 
020 


a 9783540476443

100 
1 

a Dontchev, Assen L.

245 
0 
0 
a WellPosed Optimization Problems
h Elektronische Ressource
c by Assen L. Dontchev, Tullio Zolezzi

250 


a 1st ed. 1993

260 


a Berlin, Heidelberg
b Springer Berlin Heidelberg
c 1993, 1993

300 


a XII, 424 p
b online resource

505 
0 

a Tykhonov wellposedness  Hadamard and tykhonov wellposedness  Generic wellposedness  Wellposedness and variational, epi and mosco convergences  Wellposedness in optimal control  Relaxation and value hadamard wellposedness in optimal control  Singular perturbations in optimal control  Wellposedness in the calculus of variations  Hadamard wellposedness in mathematical programming

653 


a Calculus of Variations and Optimization

653 


a Control theory

653 


a Systems Theory, Control

653 


a System theory

653 


a Quantitative Economics

653 


a Econometrics

653 


a Mathematical optimization

653 


a Calculus of variations

700 
1 

a Zolezzi, Tullio
e [author]

041 
0 
7 
a eng
2 ISO 6392

989 


b SBA
a Springer Book Archives 2004

490 
0 

a Lecture Notes in Mathematics

028 
5 
0 
a 10.1007/BFb0084195

856 
4 
0 
u https://doi.org/10.1007/BFb0084195?nosfx=y
x Verlag
3 Volltext

082 
0 

a 003

520 


a This book presents in a unified way the mathematical theory of wellposedness in optimization. The basic concepts of wellposedness and the links among them are studied, in particular Hadamard and Tykhonov wellposedness. 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
