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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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1867-8971 rchers 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. .978-3-030-44723-6Series ISSN 1867-8971 Series E-ISSN 1867-898X
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Extended Real-Valued Functions,lts in this chapter are well known. We add several new statements in order to point out that some properties of the functions which we focus on in this book turn out to be properties of each extended real-valued function.
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Vector Optimization in General Spaces,t, namely the domination set of the vector optimization problem. We define efficiency w.r.t. reference sets which are not necessarily domination sets and give a thorough motivation for this approach. Properties of such efficient point sets are investigated. We study efficient and weakly efficient so
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