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Titlebook: Variational Methods in Partially Ordered Spaces; Alfred Göpfert,Hassan Riahi,Constantin Zǎlinescu Textbook 2023Latest edition Springer Nat

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发表于 2025-3-21 16:53:04 | 显示全部楼层 |阅读模式
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Titlebook: Variational Methods in Partially Ordered Spaces;  Alfred Göpfert,Hassan Riahi,Constantin Zǎlinescu Textbook 2023Latest edition Springer Nat
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
doihttps://doi.org/10.1007/978-3-031-36534-8
isbn_softcover978-3-031-36536-2
isbn_ebook978-3-031-36534-8Series ISSN 2730-650X Series E-ISSN 2730-6518
issn_series 2730-650X
copyrightSpringer Nature Switzerland AG 2023
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Scalar Optimization under Uncertainty,t that solutions that are optimal for robust optimization or stochastic programming models are typically obtained as (weakly) efficient solutions of an appropriately formulated deterministic vector optimization counterpart problem.
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2730-650X librium problems; asymptotic behavior of associated Cauchy-t.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 objecti
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Examples,l vector spaces and studies, besides algebraic properties such as pointedness and convexity, also analytical ones such as those of being closed, normal, Daniell, nuclear, or having a base with special properties. A short overview of such properties is given in this chapter. The examples of cones sho
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Optimization in Partially Ordered Spaces,slation invariant functions. Furthermore, we show existence results for solutions of vector optimization problems, well-posedness of vector optimization problems, continuity properties, vector equilibrium problems, vector variational inequalities, duality assertions, minimal-point theorems, and vari
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Textbook 2023Latest editioncontrol 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 o
发表于 2025-3-23 06:44:02 | 显示全部楼层
Optimization in Partially Ordered Spaces,ational principles for vector-valued functions of Ekeland’s type as well as saddle point assertions. Compared with the first edition, we added characterizations of solutions of set-valued optimization problems via nonlinear translation invariant functions.
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