书目名称 | Vector Optimization and Monotone Operators via Convex Duality |
副标题 | Recent Advances |
编辑 | Sorin-Mihai Grad |
视频video | |
概述 | Presents the first approach to the maximal monotonicity of the diagonal operators by means of representative functions.Introduces a framework for vector duality via general scalarizations.Investigates |
丛书名称 | Vector Optimization |
图书封面 |  |
描述 | This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators. |
出版日期 | Book 2015 |
关键词 | Conjugacy; Duality; Monotone operators; Representative functions; Vector optimization |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-08900-3 |
isbn_softcover | 978-3-319-36190-1 |
isbn_ebook | 978-3-319-08900-3Series ISSN 1867-8971 Series E-ISSN 1867-898X |
issn_series | 1867-8971 |
copyright | Springer International Publishing Switzerland 2015 |