| 书目名称 | Scalarization and Separation by Translation Invariant Functions |
| 副标题 | with Applications in |
| 编辑 | Christiane Tammer,Petra Weidner |
| 视频video | |
| 概述 | The first monograph on translation invariant functions.Includes applications from vector optimization, set-valued optimization and optimization under uncertainty.Presents examples from mathematical fi |
| 丛书名称 | Vector Optimization |
| 图书封面 |  |
| 描述 | .Like norms, translation invariant functions are a natural and powerful tool for the separation of sets and scalarization. This book provides an extensive foundation for their application. It presents in a unified way new results as well as results which are scattered throughout the literature. The functions are defined on linear spaces and can be applied to nonconvex problems. Fundamental theorems for the function class are proved, with implications for arbitrary extended real-valued functions. The scope of applications is illustrated by chapters related to vector optimization, set-valued optimization, and optimization under uncertainty, by fundamental statements in nonlinear functional analysis and by examples from mathematical finance as well as from consumer and production theory. .The book is written for students and researchers in mathematics and mathematical economics. Engineers and researchers from other disciplines can benefit from the applications, for example from scalarization methods for multiobjective optimization and optimal control problems. . |
| 出版日期 | Book 2020 |
| 关键词 | Separation Theorems; Vector Optimization; Functional Analysis; Variational Analysis; Decision Making; qua |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-44723-6 |
| isbn_ebook | 978-3-030-44723-6Series ISSN 1867-8971 Series E-ISSN 1867-898X |
| issn_series | 1867-8971 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 18:41:06
