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Mathematics and Its Applications

Foundations of Mathematical Optimization

Convex Analysis without Linearity

Authors: Pallaschke, Diethard, Rolewicz, Stefan

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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-94-017-1588-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-0-7923-4424-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-90-481-4800-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Foundations of Mathematical Optimization
Book Subtitle
Convex Analysis without Linearity
Authors
Series Title
Mathematics and Its Applications
Series Volume
388
Copyright
1997
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-1588-1
DOI
10.1007/978-94-017-1588-1
Hardcover ISBN
978-0-7923-4424-7
Softcover ISBN
978-90-481-4800-4
Edition Number
1
Number of Pages
XII, 585
Topics