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Nonconvex Optimization and Its Applications

Minimax Theory and Applications

Editors: Ricceri, Biagio, Simons, Stephen (Eds.)

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About this book

The present volume contains the proceedings of the workshop on "Minimax Theory and Applications" that was held during the week 30 September - 6 October 1996 at the "G. Stampacchia" International School of Mathematics of the "E. Majorana" Centre for Scientific Cul­ ture in Erice (Italy) . The main theme of the workshop was minimax theory in its most classical meaning. That is to say, given a real-valued function f on a product space X x Y , one tries to find conditions that ensure the validity of the equality sup inf f(x,y) = inf sup f(x, y). yEY xEX xEX yEY This is not an appropriate place to enter into the technical details of the proofs of minimax theorems, or into the history of the contribu­ tions to the solution of this basic problem in the last 7 decades. But we do want to stress its intrinsic interest and point out that, in spite of its extremely simple formulation, it conceals a great wealth of ideas. This is clearly shown by the large variety of methods and tools that have been used to study it. The applications of minimax theory are also extremely interesting. In fact, the need for the ability to "switch quantifiers" arises in a seemingly boundless range of different situations. So, the good quality of a minimax theorem can also be judged by its applicability. We hope that this volume will offer a rather complete account of the state of the art of the subject.

Table of contents (18 chapters)

  • Nonlinear Two Functions Minimax Theorems

    Cheng, Cao-Zong (et al.)

    Pages 1-20

  • Weakly Upward-Downward Minimax Theorem

    Cheng, Cao-Zong (et al.)

    Pages 21-28

  • A Two-Function Minimax Theorem

    Chinnì, Antonia

    Pages 29-33

  • Generalized Fixed-Points and Systems of Minimax Inequalities

    Deguire, Paul

    Pages 35-40

  • A Minimax Inequality for Marginally Semicontinuous Functions

    Greco, Gabriele H. (et al.)

    Pages 41-51

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-94-015-9113-3
  • 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 978-0-7923-5064-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.99
price for USA in USD
  • ISBN 978-90-481-5030-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Minimax Theory and Applications
Editors
  • Biagio Ricceri
  • Stephen Simons
Series Title
Nonconvex Optimization and Its Applications
Series Volume
26
Copyright
1998
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-9113-3
DOI
10.1007/978-94-015-9113-3
Hardcover ISBN
978-0-7923-5064-4
Softcover ISBN
978-90-481-5030-4
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XII, 274
Topics