Optimization on Metric and Normed Spaces

  • Alexander J.┬áZaslavski
Part of the Springer Optimization and Its Applications book series (SOIA, volume 44)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Alexander J. Zaslavski
    Pages 1-10
  3. Alexander J. Zaslavski
    Pages 11-79
  4. Alexander J. Zaslavski
    Pages 81-120
  5. Alexander J. Zaslavski
    Pages 121-180
  6. Alexander J. Zaslavski
    Pages 181-224
  7. Alexander J. Zaslavski
    Pages 225-265
  8. Alexander J. Zaslavski
    Pages 267-309
  9. Alexander J. Zaslavski
    Pages 349-394
  10. Alexander J. Zaslavski
    Pages 395-425
  11. Back Matter
    Pages 427-434

About this book

Introduction

"Optimization on Metric and Normed Spaces" is devoted to the recent progress in optimization on Banach spaces and complete metric spaces. Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do not satisfy such compactness assumptions. In order to overcome these difficulties, the book uses the Baire category approach and considers approximate solutions. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the last ten years. The book is intended for mathematicians interested in optimization and applied functional analysis.

Keywords

Baire category approach Banach spaces Hilbert space Vector optimization algorithms constrained optimization functional analysis optimization vector minimization problems well-posedness

Authors and affiliations

  • Alexander J.┬áZaslavski
    • 1
  1. 1.Technology, Department of MathematicsTechnion - Israel Institute ofHaifaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-88621-3
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-88620-6
  • Online ISBN 978-0-387-88621-3
  • Series Print ISSN 1931-6828
  • About this book