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Titlebook: Quasidifferentiability and Related Topics; Vladimir Demyanov,Alexander Rubinov Book 2000 Springer-Verlag US 2000 algorithm.analysis.mathem

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书目名称Quasidifferentiability and Related Topics
编辑Vladimir Demyanov,Alexander Rubinov
视频video
丛书名称Nonconvex Optimization and Its Applications
图书封面Titlebook: Quasidifferentiability and Related Topics;  Vladimir Demyanov,Alexander Rubinov Book 2000 Springer-Verlag US 2000 algorithm.analysis.mathem
描述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-regula
出版日期Book 2000
关键词algorithm; analysis; mathematical modeling; mathematical programming; modeling; numerical methods; optimiz
版次1
doihttps://doi.org/10.1007/978-1-4757-3137-8
isbn_softcover978-1-4419-4830-4
isbn_ebook978-1-4757-3137-8Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer-Verlag US 2000
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Strongly Differentiable Multifunctions and Directional Differentiability of Marginal Functions,This paper deals with strong differentiability of multifunctions. We prove the directional differentiability of marginal functions of strongly differentiate multifunctions without any additional assumptions.
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Nonconvex Optimization and Its Applicationshttp://image.papertrans.cn/q/image/781629.jpg
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Minimal Pairs of Compact Convex Sets, with Application to Quasidifferential Calculus,ar, attention is paid to the problem of finding different types of minimal representatives of a pair of nonempty compact convex subsets of a locally convex topological vector space in terms of the Rådström -Hörmander Theory.
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Radiant Sets and Their Gauges,kowski gauges and give a new result related to the separability of two star-shaped sets by a finite collection of linear functions. We also discuss duality of radiant sets in the framework of abstract convexity.
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