Well-Posed Optimization Problems

  • Authors
  • Asen L. Dontchev
  • Tullio Zolezzi

Part of the Lecture Notes in Mathematics book series (LNM, volume 1543)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Asen L. Dontchev, Tullio Zolezzi
    Pages 1-37
  3. Asen L. Dontchev, Tullio Zolezzi
    Pages 38-80
  4. Asen L. Dontchev, Tullio Zolezzi
    Pages 81-115
  5. Asen L. Dontchev, Tullio Zolezzi
    Pages 116-175
  6. Asen L. Dontchev, Tullio Zolezzi
    Pages 176-229
  7. Asen L. Dontchev, Tullio Zolezzi
    Pages 230-247
  8. Asen L. Dontchev, Tullio Zolezzi
    Pages 248-282
  9. Asen L. Dontchev, Tullio Zolezzi
    Pages 283-334
  10. Asen L. Dontchev, Tullio Zolezzi
    Pages 335-380
  11. Back Matter
    Pages 381-421

About this book

Introduction

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.

Keywords

Mathematical Programming Stability Well-Posedness optimal control optimization

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084195
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56737-0
  • Online ISBN 978-3-540-47644-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book