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Titlebook: Scalarization and Separation by Translation Invariant Functions; with Applications in Christiane Tammer,Petra Weidner Book 2020 Springer Na

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發(fā)表于 2025-3-21 18:41:06 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Scalarization and Separation by Translation Invariant Functions
副標題with Applications in
編輯Christiane Tammer,Petra Weidner
視頻videohttp://file.papertrans.cn/862/861073/861073.mp4
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
叢書名稱Vector Optimization
圖書封面Titlebook: Scalarization and Separation by Translation Invariant Functions; with Applications in Christiane Tammer,Petra Weidner Book 2020 Springer Na
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
關鍵詞Separation Theorems; Vector Optimization; Functional Analysis; Variational Analysis; Decision Making; qua
版次1
doihttps://doi.org/10.1007/978-3-030-44723-6
isbn_ebook978-3-030-44723-6Series ISSN 1867-8971 Series E-ISSN 1867-898X
issn_series 1867-8971
copyrightSpringer Nature Switzerland AG 2020
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沙發(fā)
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Variational Analysis,In this chapter, we recall well-known concepts of generalized differentiation for vector-valued functions as well as set-valued maps. These notions are important for deriving optimality conditions. Here the focus is on developing differentiability properties of nonconvex functions (maps).
地板
發(fā)表于 2025-3-22 06:22:18 | 只看該作者
Christiane Tammer,Petra WeidnerThe first monograph on translation invariant functions.Includes applications from vector optimization, set-valued optimization and optimization under uncertainty.Presents examples from mathematical fi
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Vector Optimizationhttp://image.papertrans.cn/s/image/861073.jpg
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https://doi.org/10.1007/978-3-030-44723-6Separation Theorems; Vector Optimization; Functional Analysis; Variational Analysis; Decision Making; qua
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發(fā)表于 2025-3-22 19:37:08 | 只看該作者
Christiane Tammer,Petra Weidnermicrostructured system. Also included are studies of homogenisation, that field which seeks to determine equivalent homogeneous systems which can give equivalent wave properties to structured materials, and inverse problems, in which waves are used as a probe to infer structural details concerning s
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Christiane Tammer,Petra Weidnermicrostructured system. Also included are studies of homogenisation, that field which seeks to determine equivalent homogeneous systems which can give equivalent wave properties to structured materials, and inverse problems, in which waves are used as a probe to infer structural details concerning s
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發(fā)表于 2025-3-23 05:45:39 | 只看該作者
Christiane Tammer,Petra Weidnert the effect of electric fields on crack propagation in the FGPMs is qualitatively the same as that in a homogeneous piezoelectric material, i.e., the gradual variation of material does not change the propagation tendencies of cracks under an electric field.
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