Constructive Nonsmooth Analysis and Related Topics
Editors: Demyanov, Vladimir F., Pardalos, Panos, Batsyn, Mikhail V. (Eds.)
Free Preview- 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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- About this book
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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)
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Use Model Theory in Nonsmooth Analysis
Pages 1-11
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Demyanov Difference in Infinite-Dimensional Spaces
Pages 13-24
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Separable Reduction of Metric Regularity Properties
Pages 25-37
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Construction of Pairs of Reproducing Kernel Banach Spaces
Pages 39-57
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On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities
Pages 59-70
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Table of contents (17 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Constructive Nonsmooth Analysis and Related Topics
- Editors
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- Vladimir F. Demyanov
- Panos 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
- 24 b/w illustrations, 11 illustrations in colour
- Topics
