by Peter Au. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 87-88). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Preliminaries --- p.7 / Chapter 2.1 --- Recession and Conjugate Functions --- p.7 / Chapter 2.2 --- Directional derivative and Subgradient --- p.10 / Chapter 2.3 --- Well-Posedness and E-subgradient --- p.15 / Chapter 2.4 --- Exact Penalization --- p.17 / Chapter 3 --- Some Recent Results on Error Bounds --- p.20 / Chapter 3.1 --- Hoffman's Error Bound --- p.20 / Chapter 3.2 --- Extension of Hoffman's Error Bound to Polynomial Systems --- p.26 / Chapter 3.2.1 --- An Error Bound to Polynomial Systems --- p.28 / Chapter 3.2.2 --- Error Bound for Convex Quadratic Inequali- ties Systems --- p.30 / Chapter 3.3 --- Error Bounds for a Convex Inequality --- p.41 / Chapter 3.3.1 --- Unconstrained Case --- p.42 / Chapter 3.3.2 --- Constrained Case --- p.47 / Chapter 3.4 --- Error Bounds for System of Convex Inequalities --- p.55 / Chapter 3.4.1 --- Unconstrained Case --- p.56 / Chapter 3.4.2 --- Constrained Case --- p.60 / Chapter 4 --- Some Recent Results on Certain Proper Efficient Points --- p.63 / Chapter 4.1 --- Scalarization of Henig Proper Efficient Points --- p.63 / Chapter 4.1.1 --- Preliminaries --- p.64 / Chapter 4.1.2 --- Scalarization by Monotone Minkowski Func- tionals --- p.68 / Chapter 4.1.3 --- Scalarization by Continuous Norms --- p.73 / Chapter 4.2 --- Pareto Optimizing and Scalarly Stationary Sequence --- p.75 / Bibliography
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322662 |
| Date | January 1999 |
| Contributors | Au, Peter., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 88 leaves ; 30 cm. |
| Rights | Use 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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