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  • © 2010

Optimization on Metric and Normed Spaces

  • Establishes the existence of solutions of parametric optimization problems on metric spaces.
  • Provides solutions to well-posedness of constrained minimization problems on Banach spaces.
  • Contains solutions to a number of difficult and common problems in optimization.
  • Presents new approches for optimization on metric normed spaces.

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 44)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Alexander J. Zaslavski
    Pages 1-10
  3. Exact Penalty in Constrained Optimization

    • Alexander J. Zaslavski
    Pages 11-79
  4. Stability of the Exact Penalty

    • Alexander J. Zaslavski
    Pages 81-120
  5. Generic Well-Posedness of Minimization Problems

    • Alexander J. Zaslavski
    Pages 121-180
  6. Well-Posedness and Porosity

    • Alexander J. Zaslavski
    Pages 181-224
  7. Parametric Optimization

    • Alexander J. Zaslavski
    Pages 225-265
  8. Optimization with Increasing Objective Functions

    • Alexander J. Zaslavski
    Pages 267-309
  9. Vector Optimization

    • Alexander J. Zaslavski
    Pages 349-394
  10. Infinite Horizon Problems

    • Alexander J. Zaslavski
    Pages 395-425
  11. Back Matter

    Pages 427-434

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.

Authors and Affiliations

  • Technology, Department of Mathematics, Technion - Israel Institute of, Haifa, Israel

    Alexander J. Zaslavski

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access