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.iAbstract --- p.iiIntroduction --- p.1Chapter 1 --- Differentiability On Banach Spaces --- p.4Chapter 1.1 --- Introduction --- p.5Chapter 1.2 --- Subdifferentiability of Convex Functions --- p.12Chapter 1.3 --- Generalized Gradients --- p.16Chapter 1.4 --- The Rockafellar Subderivatives --- p.21Chapter 2 --- On Minimizing and Stationary Sequences --- p.25Chapter 2.1 --- On Equivalence of Minimizing and Stationary Sequences --- p.26Chapter 2.2 --- Constrained Optimization Problem --- p.35Chapter 2.3 --- Convergence of an Iterative Algorithm --- p.41Chapter 3 --- Asymptotically Weil-Behaved Functions --- p.47Chapter 3.1 --- Asymptotically Well-Behaved Convex Functions --- p.48Chapter 3.2 --- The Subclass R --- p.54Chapter 3.3 --- Application on Approximate Problems and Duality Theory --- p.61Chapter 4 --- The Minimum and Maximum Principle --- p.71Chapter 4.1 --- The Radon-Nikodym Property --- p.71Chapter 4.2 --- The Minimum and Maximum Principle for Nonconvex Functions --- p.83Bibliography --- p.9