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Nonconvex Optimization and Its Applications

Quasidifferentiability and Related Topics

Editors: Demyanov, Vladimir F., Rubinov, Alexander M. (Eds.)

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About this book

2 Radiant sets 236 3 Co-radiant sets 239 4 Radiative and co-radiative sets 241 5 Radiant sets with Lipschitz continuous Minkowski gauges 245 6 Star-shaped sets and their kernels 249 7 Separation 251 8 Abstract convex star-shaped sets 255 References 260 11 DIFFERENCES OF CONVEX COMPACTA AND METRIC SPACES OF CON- 263 VEX COMPACTA WITH APPLICATIONS: A SURVEY A. M. Rubinov, A. A. Vladimirov 1 Introduction 264 2 Preliminaries 264 3 Differences of convex compact sets: general approach 266 4 Metric projections and corresponding differences (one-dimensional case) 267 5 The *-difference 269 6 The Demyanov difference 271 7 Geometric and inductive definitions of the D-difference 273 8 Applications to DC and quasidifferentiable functions 276 9 Differences of pairs of set-valued mappings with applications to quasidiff- entiability 278 10 Applications to approximate subdifferentials 280 11 Applications to the approximation of linear set-valued mappings 281 12 The Demyanov metric 282 13 The Bartels-Pallaschke metric 284 14 Hierarchy of the three norms on Qn 285 15 Derivatives 287 16 Distances from convex polyhedra and convergence of convex polyhedra 289 17 Normality of convex sets 290 18 D-regular sets 291 19 Variable D-regular sets 292 20 Optimization 293 References 294 12 CONVEX APPROXIMATORS.

Table of contents (14 chapters)

Table of contents (14 chapters)
  • An Introduction to Quasidifferential Calculus

    Pages 1-31

    Demyanov, V. F. (et al.)

  • Numerical Methods for Minimizing Quasidifferentiable Functions: A Survey and Comparison

    Pages 33-71

    Bagirov, Adil M.

  • Dual Representations of Classes of Positively Homogeneous Functions

    Pages 73-84

    Castellani, Marco

  • Exhausters and Convexificators — New Tools in Nonsmooth Analysis

    Pages 85-137

    Demyanov, V. F.

  • On Directional Differentiability of Marginal Functions in Quasidifferentiable Case

    Pages 139-149

    Dudov, Sergey I.

Buy this book

eBook $189.00
price for USA in USD (gross)
  • ISBN 978-1-4757-3137-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.99
price for USA in USD
  • ISBN 978-0-7923-6284-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $249.99
price for USA in USD
  • ISBN 978-1-4419-4830-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quasidifferentiability and Related Topics
Editors
  • Vladimir F. Demyanov
  • Alexander M. Rubinov
Series Title
Nonconvex Optimization and Its Applications
Series Volume
43
Copyright
2000
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-1-4757-3137-8
DOI
10.1007/978-1-4757-3137-8
Hardcover ISBN
978-0-7923-6284-5
Softcover ISBN
978-1-4419-4830-4
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XIX, 395
Topics

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