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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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Special Cases and Functionals Related to ,nequalities. We characterize efficient elements by means of functionals where oblique norms are involved and weakly efficient elements via scalarization using block norms. Our results are applied to multiobjective d.c. (difference of convex functions) optimization problems. Furthermore, we discuss s
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Vector Optimization with Variable Domination Structures,ms where the domination structure is given by a set-valued map acting between abstract or finite-dimensional spaces. Interesting and important applications of vector optimization with variable domination structure arise in economics, psychology, capability of human behavior, in portfolio management,
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Variational Methods in Topological Vector Spaces,ry optimality conditions in vector optimization, duality assertions, minimal point theorems and variational principles, necessary conditions for approximate solutions of vector optimization problems with respect to variable domination structure, existence results for solutions of vector variational
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Sets and Binary Relations,ow to deduce results in cases where usually one of the following conditions has to be fulfilled, but is not satisfied or too restrictive:.- the space is equipped with a topology,.- a set is closed or has a nonempty interior in a given topology,.- a set is algebraically closed or its algebraic interior is nonempty.
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