Foundations of Mathematical Optimization

Convex Analysis without Linearity

  • Diethard Pallaschke
  • Stefan Rolewicz

Part of the Mathematics and Its Applications book series (MAIA, volume 388)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Diethard Pallaschke, Stefan Rolewicz
    Pages 1-55
  3. Diethard Pallaschke, Stefan Rolewicz
    Pages 56-170
  4. Diethard Pallaschke, Stefan Rolewicz
    Pages 171-230
  5. Diethard Pallaschke, Stefan Rolewicz
    Pages 231-293
  6. Diethard Pallaschke, Stefan Rolewicz
    Pages 294-312
  7. Diethard Pallaschke, Stefan Rolewicz
    Pages 313-389
  8. Diethard Pallaschke, Stefan Rolewicz
    Pages 390-411
  9. Diethard Pallaschke, Stefan Rolewicz
    Pages 412-468
  10. Diethard Pallaschke, Stefan Rolewicz
    Pages 469-496
  11. Diethard Pallaschke, Stefan Rolewicz
    Pages 497-550
  12. Back Matter
    Pages 551-585

About this book

Introduction

Many books on optimization consider only finite dimensional spaces. This volume is unique in its emphasis: the first three chapters develop optimization in spaces without linear structure, and the analog of convex analysis is constructed for this case. Many new results have been proved specially for this publication. In the following chapters optimization in infinite topological and normed vector spaces is considered. The novelty consists in using the drop property for weak well-posedness of linear problems in Banach spaces and in a unified approach (by means of the Dolecki approximation) to necessary conditions of optimality. The method of reduction of constraints for sufficient conditions of optimality is presented. The book contains an introduction to non-differentiable and vector optimization.
Audience: This volume will be of interest to mathematicians, engineers, and economists working in mathematical optimization.

Keywords

Approximation Mathematica optimization vector optimization

Authors and affiliations

  • Diethard Pallaschke
    • 1
  • Stefan Rolewicz
    • 2
  1. 1.Institute for Statistics and Mathematical EconomicsUniversity of KarlsruheKarlsruheGermany
  2. 2.Institute of Mathematics of the Polish Academy of SciencesWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-1588-1
  • Copyright Information Springer Science+Business Media B.V. 1997
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4800-4
  • Online ISBN 978-94-017-1588-1
  • About this book
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