Multivalued Analysis and Nonlinear Progr
โ B. Luderer, L. Minchenko, T. Satsura
๐ Library
๐
2003,2010
๐ Springer / Kluwer
๐ English
โฆ LIBER โฆ
๐
Multivalued Analysis and Nonlinear Programming Problems with Perturbations
โ Scribed by Bernd Luderer, Leonid Minchenko, Tatyana Satsura (auth.)
- Publisher
- Springer US
- Year
- 2002
- Tongue
- English
- Leaves
- 217
- Series
- Nonconvex Optimization and Its Applications 66
- Edition
- 1
- Category
- Library
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โฆ Synopsis
From the reviews:
"The aim of this book is to study infinite dimensional spaces, multivalued mappings and the associated marginal functions โฆ . The material is presented in a clear, rigorous manner. Besides the bibliographical comments โฆ references to the literature are given within the text. โฆ the unified approach to the directional differentiability of multifunctions and their associated marginal functions is a remarkable feature of the book โฆ . the book is a useful contribution to nonsmooth analysis and optimization." (Winfried Schirotzek, Zentralblatt MATH, Vol. 1061 (11), 2005)
โฆ Table of Contents
Front Matter....Pages i-xii
Basic Notation....Pages 1-4
Basic Concepts and Problems of Multivalued Analysis....Pages 5-26
Topological and Differential Properties of Multivalued Mappings....Pages 27-57
Subdifferentials of Marginal Functions....Pages 59-75
Directional Derivatives of Marginal Functions....Pages 77-96
First and Second Order Sensitivity Analysis of Perturbed Mathematical Programming Problems....Pages 97-186
Back Matter....Pages 187-210
โฆ Subjects
Optimization; Calculus of Variations and Optimal Control; Optimization; Real Functions; Functional Analysis
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