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

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Christiane Tammer,Petra Weidnerormation near the wall. Instability of lifted, vortex-free low-speed streaks is shown to generate new streamwise vortices, which dominate near-wall turbulence phenomena. Significantly, the 3D features of the (instantaneous) instability-generated vortices agree well with the coherent structures educe

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Sets and Binary Relations,some new results and details that are necessary for the understanding of the following chapters and for the proofs therein. Furthermore, our notation is introduced. We investigate properties of recession cones and norms which are defined by means of cones. Statements about the algebraic interior and

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Extended Real-Valued Functions,unctions may also be real-valued. In the first two sections, we give a short overview about the extended set of real numbers and explain the way in which extended real-valued functions are handled in convex analysis. We also discuss problems that arise by admitting values .. Afterwards, statements a

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Vector Optimization in General Spaces,ctor optimization problem with a variable domination structure is equivalent to the problem of finding nondominated solutions in a set related to some arbitrary binary relation. Each decision problem can be shown to be of this type. We introduce the basic concept for variable domination structures a

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Multiobjective Optimization,s properly efficient point set is described by efficient and weakly efficient point sets related to cones, especially to different types of polyhedral cones. Moreover, existence results and the density in the Pareto optimal point set are proved under rather mild assumptions. The properly efficient p