Nonconvex Optimization and Its Applications

Generalized Convexity, Generalized Monotonicity and Applications

Proceedings of the 7th International Symposium on Generalized Convexity and Generalized Monotonicity

Editors: Eberhard, Andrew, Hadjisavvas, Nicolas, Luc, D.T. (Eds.)

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About this book

This volume contains a collection of refereed articles on generalized convexity and generalized monotonicity. The first part of the book contains invited papers by leading experts (J.M. Borwein, R.E. Burkard, B.S. Mordukhovich and H. Tuy) with applications of (generalized) convexity to such diverse fields as algebraic dynamics of the Gamma function values, discrete optimization, Lipschitzian stability of parametric constraint systems, and monotonicity of functions. The second part contains contributions presenting the latest developments in generalized convexity and generalized monotonicity: its connections with discrete and with continuous optimization, multiobjective optimization, fractional programming, nonsmooth Aanalysis, variational inequalities, and its applications to concrete problems such as finding equilibrium prices in mathematical economics, or hydrothermal scheduling.

Audience

This volume is suitable for faculty, graduate students, and researchers in mathematical programming, operations research, convex analysis, nonsmooth analysis, game theory and mathematical economics.

Table of contents (20 chapters)

Table of contents (20 chapters)
  • Algebraic Dynamics of Certain Gamma Function Values

    Borwein, J. M. (et al.)

    Pages 3-21

  • (Generalized) Convexity and Discrete Optimization

    Burkard, Rainer E.

    Pages 23-37

  • Lipschitzian Stability of Parametric Constraint Systems in Infinite Dimensions

    Mordukhovich, Boris S.

    Pages 39-59

  • Monotonicity in the Framework of Generalized Convexity

    Tuy, Hoang

    Pages 61-85

  • On the Contraction and Nonexpansiveness Properties of the Marginal Mappings in Generalized Variational Inequalities Involving Co-Coercive Operators

    Anh, Pham Ngoc (et al.)

    Pages 89-111

Buy this book

eBook $169.00
price for USA in USD (gross)
  • ISBN 978-0-387-23639-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-0-387-23638-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $219.99
price for USA in USD
  • ISBN 978-1-4419-3647-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Generalized Convexity, Generalized Monotonicity and Applications
Book Subtitle
Proceedings of the 7th International Symposium on Generalized Convexity and Generalized Monotonicity
Editors
  • Andrew Eberhard
  • Nicolas Hadjisavvas
  • D.T. Luc
Series Title
Nonconvex Optimization and Its Applications
Series Volume
77
Copyright
2005
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-23639-1
DOI
10.1007/b102138
Hardcover ISBN
978-0-387-23638-4
Softcover ISBN
978-1-4419-3647-9
Series ISSN
1571-568X
Edition Number
1
Number of Pages
X, 350
Number of Illustrations
6 b/w illustrations
Topics