臺灣博碩士論文加值系統

在這篇論文中，我們主要研究一些不同型式的最小值問題，並且討論
Fenchel's Duality Theorem 和它的應用。

1.Introduction 1
2.Epigraph,Lower Sections and Lower Semi-Continuity 3
3.Lower Semi-Compact Functions and Ekeland's Variational principle 8
4.Continuous Convex Functions 13
5.The Proximation And Separation Theorem 22
6.Conjugate Functions And Their Properties 29
7.Fenchel's Duality Theorem With It's Applications 37

1.P.R.adby and M.A. Dempster, Introduction to optimization
methods, Chapman and Hall, London, 1974.
2.J.-P. Aubin, Optima and equilibra: an introduction to nonlinear analysis, Springer, Berlin, 1993.
3.F.H.Clarke, Optimization and nonsmooth analysis, Wiley, New York, 1983.