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

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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).

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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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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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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.