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Some recent results on optimization theory.

by Chan Chiu Fat. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 99-100). / Acknowledgment --- p.i / Abstract --- p.ii / Introduction --- p.1 / Chapter 1 --- Differentiability On Banach Spaces --- p.4 / Chapter 1.1 --- Introduction --- p.5 / Chapter 1.2 --- Subdifferentiability of Convex Functions --- p.12 / Chapter 1.3 --- Generalized Gradients --- p.16 / Chapter 1.4 --- The Rockafellar Subderivatives --- p.21 / Chapter 2 --- On Minimizing and Stationary Sequences --- p.25 / Chapter 2.1 --- On Equivalence of Minimizing and Stationary Sequences --- p.26 / Chapter 2.2 --- Constrained Optimization Problem --- p.35 / Chapter 2.3 --- Convergence of an Iterative Algorithm --- p.41 / Chapter 3 --- Asymptotically Weil-Behaved Functions --- p.47 / Chapter 3.1 --- Asymptotically Well-Behaved Convex Functions --- p.48 / Chapter 3.2 --- The Subclass R --- p.54 / Chapter 3.3 --- Application on Approximate Problems and Duality Theory --- p.61 / Chapter 4 --- The Minimum and Maximum Principle --- p.71 / Chapter 4.1 --- The Radon-Nikodym Property --- p.71 / Chapter 4.2 --- The Minimum and Maximum Principle for Nonconvex Functions --- p.83 / Bibliography --- p.99

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322011
Date January 1997
ContributorsChan, Chiu Fat., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, iv, 100 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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