书目名称 | Variational Methods in Partially Ordered Spaces |
编辑 | Alfred Göpfert,Hassan Riahi,Constantin Zǎlinescu |
视频video | |
概述 | Tools in partially ordered spaces are applied to variational methods in nonlinear analysis & optimization theory.Developments on vector equilibrium problems; asymptotic behavior of associated Cauchy-t |
丛书名称 | CMS/CAIMS Books in Mathematics |
图书封面 |  |
描述 | .In mathematical modeling of processes occurring in logistics, management science, operations research, networks, mathematical finance, medicine, and control theory, one often encounters optimization problems involving more than one objective function so that Multiobjective Optimization (or Vector Optimization, initiated by W. Pareto) has received new impetus. The growing interest in vector optimization problems, both from the theoretical point of view and as it concerns applications to real world optimization problems, asks for a general scheme which embraces several existing developments and stimulates new ones... ..This book aims to provide the newest results and applications of this quickly growing field. Basic tools of partially ordered spaces are discussed and applied to variational methods in nonlinear analysis and to optimization problems.. ..The book begins by providing simple examples that illustrate what kind of problems can be handled with the methods presented. The book then deals with connections between order structures and topological structures of sets, discusses properties of nonlinear scalarization functions, and derives corresponding separation theorems for not |
出版日期 | Textbook 2023Latest edition |
关键词 | Vector optimization; algebra; calculus; linear algebra; mathematical modeling; modeling; multi-objective o |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-031-36534-8 |
isbn_softcover | 978-3-031-36536-2 |
isbn_ebook | 978-3-031-36534-8Series ISSN 2730-650X Series E-ISSN 2730-6518 |
issn_series | 2730-650X |
copyright | Springer Nature Switzerland AG 2023 |