Quasidifferentiability and Related Topics

. Ed(s): Dem'yanov, V. F.; Rubinov, Alexander

ISBN 10: 0792362845 / ISBN 13: 9780792362845

Verlag: Kluwer Academic Publishers, 2000

Beschreibung

Presenting information concerning quasidifferentiability and related topics, this book is a collection of results in different aspects of nonsmooth analysis related to, connected with or inspired by quasidifferential calculus. It is useful for specialists in optimization, mathematical programming, convex analysis, and nonsmooth analysis. Editor(s): Dem'yanov, V. F.; Rubinov, Alexander. Series: Nonconvex Optimization and Its Applications. Num Pages: 414 pages, biography. BIC Classification: PBKQ; TGP. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 23. Weight in Grams: 763. . 2000. Hardback. . . . .

Bestandsnummer des Verkäufers V9780792362845

Bibliografische Details

• Titel: Quasidifferentiability and Related Topics
• Verlag: Kluwer Academic Publishers
• Erscheinungsjahr: 2000
• Sprache: Englisch
• ISBN-10: 0792362845
• ISBN-13: 9780792362845
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.