| 书目名称 | From Hahn-Banach to Monotonicity |
| 编辑 | Stephen Simons |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .In this new edition of LNM 1693 the essential idea is 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 a generalization of the Hahn-Banach theorem uniting classical functional analysis, minimax theory, Lagrange multiplier theory and convex analysis and culminates in a survey of current results on monotone multifunctions on a Banach space...The first two chapters are aimed at students interested in the development of the basic theorems of functional analysis, which leads painlessly to the theory of minimax theorems, convex Lagrange multiplier theory and convex analysis. The remaining five chapters are useful for those who wish to learn about the current research on monotone multifunctions on (possibly non reflexive) Banach space.. |
| 出版日期 | Book 2008Latest edition |
| 关键词 | Hahn-Banach-Lagrange theorem; Lagrange multipliers; convex analysis; functional analysis; monotone multi |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-1-4020-6919-2 |
| isbn_softcover | 978-1-4020-6918-5 |
| isbn_ebook | 978-1-4020-6919-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer Science+Business Media B.V. 2008 |
发表于 2025-3-21 18:08:11
