Springer Optimization and Its Applications

Constructive Nonsmooth Analysis and Related Topics

Editors: Demyanov, Vladimir F., Pardalos, Panos M., Batsyn, Mikhail V. (Eds.)

  • Focuses on Nonsmooth Analysis, a modern and powerful instrument in applied mathematics
  • Presents minimax theory an important area in optimization theory covering a number of nonsmooth problems, is presented
  • Includes applications in engineering and solutions to nonsmooth real-world problems, optimization problems for dynamical systems
  • Presents methods for dealing with difficult optimization problems in global optimization
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  • ISBN 978-1-4614-8615-2
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About this book

This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whose contributions to NSA and NDO remain invaluable.

The first four chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 are related to nondifferentiable optimization, and the volume concludes with four chapters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization: Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and important snapshots of the 50-year history of convex analysis and optimization.

Table of contents (17 chapters)

  • Use Model Theory in Nonsmooth Analysis

    Kutateladze, S. S.

    Pages 1-11

  • Demyanov Difference in Infinite-Dimensional Spaces

    Grzybowski, Jerzy (et al.)

    Pages 13-24

  • Separable Reduction of Metric Regularity Properties

    Ioffe, A. D.

    Pages 25-37

  • Construction of Pairs of Reproducing Kernel Banach Spaces

    Georgiev, Pando G. (et al.)

    Pages 39-57

  • On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities

    Ovcharova, N. (et al.)

    Pages 59-70

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-1-4614-8615-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4614-8614-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4939-4631-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Constructive Nonsmooth Analysis and Related Topics
Editors
  • Vladimir F. Demyanov
  • Panos M. Pardalos
  • Mikhail V. Batsyn
Series Title
Springer Optimization and Its Applications
Series Volume
87
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-8615-2
DOI
10.1007/978-1-4614-8615-2
Hardcover ISBN
978-1-4614-8614-5
Softcover ISBN
978-1-4939-4631-0
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XII, 253
Number of Illustrations and Tables
24 b/w illustrations, 11 illustrations in colour
Topics