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Quasidifferentiability and Related Topics (Hardcover, 2000 ed.)
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Quasidifferentiability and Related Topics (Hardcover, 2000 ed.)
Series: Nonconvex Optimization and Its Applications, 43
Expected to ship within 12 - 17 working days
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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.
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