Springer Optimization and Its Applications

Optimization on Metric and Normed Spaces

Authors: Zaslavski, Alexander J.

  • Establishes the existence of solutions of parametric optimization problems on metric spaces
  • Provides solutions to the well expressed constrained minimization problems on Banach spaces
  • Contains solutions to a number of difficult and common problems in optimization
  • Presents new approaches to optimization in metric normed spaces
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eBook $149.00
price for USA (gross)
  • ISBN 978-0-387-88621-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-0-387-88620-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-1-4614-2640-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

"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.

Table of contents (10 chapters)

  • Introduction

    Zaslavski, Alexander J.

    Pages 1-10

  • Exact Penalty in Constrained Optimization

    Zaslavski, Alexander J.

    Pages 11-79

  • Stability of the Exact Penalty

    Zaslavski, Alexander J.

    Pages 81-120

  • Generic Well-Posedness of Minimization Problems

    Zaslavski, Alexander J.

    Pages 121-180

  • Well-Posedness and Porosity

    Zaslavski, Alexander J.

    Pages 181-224

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-0-387-88621-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-0-387-88620-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-1-4614-2640-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Optimization on Metric and Normed Spaces
Authors
Series Title
Springer Optimization and Its Applications
Series Volume
44
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-387-88621-3
DOI
10.1007/978-0-387-88621-3
Hardcover ISBN
978-0-387-88620-6
Softcover ISBN
978-1-4614-2640-0
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XIV, 434
Topics