| 书目名称 | Set-Valued Mappings and Enlargements of Monotone Operators | | 编辑 | Regina S. Burachik,Alfredo N. Iusem | | 视频video | | | 概述 | First comprehensive treatment in book form of the fairly new subdiscipline in set-valued analysis of enlargements of maximal monotone operators.Presents several important new results in the field.Addr | | 丛书名称 | Springer Optimization and Its Applications | | 图书封面 |  | | 描述 | .Set-valued analysis is an essential tool for the mathematical formulation of many real-life situations, e.g., equilibrium theory in mathematical economics. This work offers the first comprehensive treatment in book form of the fairly new subdiscipline of enlargements of maximal monotone operators, including several important new results in the field. In the last decades, with the development of nonsmooth optimization, effective algorithms have been developed to solve these kinds of problems, such as nonsmooth variational inequalities. Several of these methods, such as bundle methods for variational problems, are fully developed and analyzed in this book...The first chapters provide a self-contained review of the basic notions and fundamental results in set-valued analysis, including set convergence and continuity of set-valued mappings together with many important results in infinite-dimensional convex analysis, leading to the classical fixed point results due to Ekeland, Caristi and Kakutani. Next, an in-depth introduction to monotone operators is developed, emphasizing results related to maximality of subdifferentials and of sums of monotone operators. Building on this foundatio | | 出版日期 | Textbook 2008 | | 关键词 | Maxima; analysis; functional analysis; linear optimization; mathematical economics; operations research; o | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-69757-4 | | isbn_softcover | 978-1-4419-4346-0 | | isbn_ebook | 978-0-387-69757-4Series ISSN 1931-6828 Series E-ISSN 1931-6836 | | issn_series | 1931-6828 | | copyright | Springer-Verlag US 2008 |
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发表于 2025-3-21 18:35:36
