Minimax and monotonicity

＜図書＞
Minimax and monotonicity

責任表示	Stephen Simons
シリーズ	Lecture notes in mathematics ; 1693
データ種別	図書
出版情報	Berlin : Springer , c1998
本文言語	英語
大きさ	xi, 172 p. ; 24 cm
概要	Focussing on the theory (both classical and recent) of monotone multifunctions on a (possibly nonreflexive) Banach space, this book looks at the big convexification of a multifunction; convex functio...s associated with a multifunction; minimax theorems as a tool in functional analysis and convex analysis. It includes new results on the existence of continuous linear functionals; the conjugates, biconjugates and subdifferentials of convex lower semicontinuous functions, Fenchel duality; (possibly unbounded) positive linear operators from a Banach space into its dual; the sum of maximal monotone operators, and a list of open problems. The reader is expected to know basic functional analysis and calculus of variations, including the Bahn-Banach theorem, Banach-Alaoglu theorem, Ekeland's variational principle. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7007228

一般注記	References: p. [165]-167 Includes indexes
著者標目	*Simons, Stephen
件　名	LCSH:Maxima and minima LCSH:Mathematical physics
分　類	LCC:QC20.7.B6 DC20:515/.64 NDC8:410.8 NDC8:413.9
書誌ID	1001238354
ISBN	3540647554
NCID	BA37407494
巻冊次	ISBN:3540647554
登録日	2009.09.18
更新日	2017.02.18