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Fakultät für Mathematik
Gert Wanka, Oleg Wilfer: Duality Results for Nonlinear Single Minimax Location Problems via Multi-Composed Optimization

Gert Wanka, Oleg Wilfer: Duality Results for Nonlinear Single Minimax Location Problems via Multi-Composed Optimization


Author(s):
Gert Wanka
Oleg Wilfer
Title:
Gert Wanka, Oleg Wilfer: Duality Results for Nonlinear Single Minimax Location Problems via Multi-Composed Optimization
Electronic source:
application/pdf
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 02, 2016
Mathematics Subject Classification:
    none []
Abstract:
In the framework of conjugate duality we discuss nonlinear and linear single minimax location problems with geometric constraints, where the gauges are defined by convex sets of a Frechet space. The version of the nonlinear location problem is additionally considered with set-up costs. Associated dual problems for this kind of location problems will be formulated as well as corresponding duality statements. As conclusion of this paper, we give a geometrical interpretation of the optimal solutions of the dual problem of an unconstraint linear single minimax location problem when the gauges are a norm. For an illustration, an example in the Euclidean space will follow.
Keywords:
Conjugate Duality, Composed Functions, Gauges, Nonlinear Minimax Location Problems, Set-up Costs, Optimality Conditions
Language:
English
Publication time:
2/2016

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