From Hahn-Banach to monotonicity
著者
書誌事項
From Hahn-Banach to monotonicity
（Lecture notes in mathematics, 1693）
Springer, c2008
2nd, expanded ed
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注記
First ed.: Minimax and monotonicity. 1998. (LNM 1693)
Includes bibliographical references (p. [233]-238) and index
HTTP:URL=http://dx.doi.org/10.1007/978-1-4020-6919-2
内容説明・目次
内容説明
This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.
目次
The Hahn-Banach-Lagrange theorem and some consequences.- Fenchel duality.- Multifunctions, SSD spaces, monotonicity and Fitzpatrick functions.- Monotone multifunctions on general Banach spaces.- Monotone multifunctions on reflexive Banach spaces.- Special maximally monotone multifunctions.- The sum problem for general Banach spaces.- Open problems.- Glossary of classes of multifunctions.- A selection of results.
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