Topics in optimization.

• Other Authors: Song, Haifeng.
• Format: Others
• Language: English; Chinese
• Published: 2009
• Subjects: Mathematical optimization; Banach spaces
• Online Access: http://library.cuhk.edu.hk/record=b5894126; http://repository.lib.cuhk.edu.hk/en/item/cuhk-326707

Song, Haifeng. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. === Includes bibliographical references (leaves 67-69). === Abstract also in Chinese. === Chapter 1 --- Introduction --- p.5 === Chapter 2 --- Preliminary --- p.8 === Chapter 2.1 --- Introduction --- p.8 === Chapter 2.2 --- Notations and fundamental properties --- p.8 === Chapter 2.3 --- Properties of polyhedra --- p.14 === Chapter 3 --- Results on Efficient Point Sets --- p.23 === Chapter 3.1 --- Introduction --- p.23 === Chapter 3.2 --- Geometric results on efficient point sets --- p.24 === Chapter 3.3 --- Density of positive proper efficient point sets --- p.33 === Chapter 4 --- Pareto Solutions of Polyhedral-valued Vector Optimization --- p.42 === Chapter 4.1 --- Introduction --- p.42 === Chapter 4.2 --- The structure of weak Pareto solution sets --- p.43 === Chapter 4.2.1 --- The general ordering cone case --- p.46 === Chapter 4.2.2 --- The polyhedral ordering cone case --- p.54 === Chapter 4.3 --- Connectedness of solution sets and optimal value sets --- p.55 === Chapter 4.4 --- Optimality conditions of piecewise linear mappings --- p.60 === Bibliography --- p.67