书目名称 | Optimization on Metric and Normed Spaces |
编辑 | Alexander J. Zaslavski |
视频video | |
概述 | Establishes the existence of solutions of parametric optimization problems on metric spaces..Provides solutions to well-posedness of constrained minimization problems on Banach spaces..Contains soluti |
丛书名称 | Springer Optimization and Its Applications |
图书封面 |  |
描述 | "Optimization on Metric and Normed Spaces" is devoted to the recent progress in optimization on Banach spaces and complete metric spaces.Optimization problems are usually considered on metric spaces satisfying certain compactness assumptions which guarantee the existence of solutions and convergence of algorithms. This book considers spaces that do not satisfy such compactness assumptions. In order to overcome these difficulties, the book uses the Baire category approach and considers approximate solutions. Therefore, it presents a number of new results concerning penalty methods in constrained optimization, existence of solutions in parametric optimization, well-posedness of vector minimization problems, and many other results obtained in the last ten years.The book is intended for mathematicians interested in optimization and applied functional analysis. |
出版日期 | Book 2010 |
关键词 | Baire category approach; Banach spaces; Hilbert space; Vector optimization; algorithms; constrained optim |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-88621-3 |
isbn_softcover | 978-1-4614-2640-0 |
isbn_ebook | 978-0-387-88621-3Series ISSN 1931-6828 Series E-ISSN 1931-6836 |
issn_series | 1931-6828 |
copyright | Springer Science+Business Media, LLC 2010 |