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On applied functional analysis and application in optimization theory.

by Tang Shu Yan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 75-76). / Introduction --- p.1 / Chapter 1 --- Efficient point and proper efficient point --- p.3 / Chapter 1.1 --- Introduction --- p.3 / Chapter 1.2 --- Definition and properties --- p.4 / Chapter 1.3 --- Existence of bases and proper efficient points --- p.14 / Chapter 2 --- Density theorem for positive proper efficient point in normed space --- p.18 / Chapter 2.1 --- "Theorem of Arrrow, Barankin and Blackwell" --- p.18 / Chapter 2.2 --- Cone with strictly positive linear functionals --- p.20 / Chapter 2.3 --- Cone with closed bounded base --- p.25 / Chapter 2.4 --- Density theorem for other proper efficiency --- p.34 / Chapter 3 --- Density theorem in Topological Vector Space --- p.43 / Chapter 3.1 --- D-cone --- p.43 / Chapter 3.2 --- Space ordered by a D-cone --- p.47 / Chapter 3.3 --- Space ordered by a cone with closed bounded base --- p.49 / Chapter 4 --- Some results on multifunction --- p.52 / Chapter 4.1 --- Open mapping theorem --- p.53 / Chapter 4.2 --- Inverse function theorem --- p.63 / Chapter 4.3 --- Subtraction theorem --- p.66 / Bibliography

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_320521
Date January 1995
ContributorsTang, Shu Yan., Chinese University of Hong Kong Graduate School. Division of Mathematics.
PublisherChinese University of Hong Kong
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, iii, 75 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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