A Perturbation Approach to Vector Optimization Problems: Lagrange and Fenchel–Lagrange Duality

In this paper, we study a general minimization vector problem which is expressed in terms of a perturbation mapping defined on a product of locally convex Hausdorff topological vector spaces with values in another locally convex topological vector space. Several representations of the epigraph of th...

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Veröffentlicht in:	Journal of optimization theory and applications 2022-08, Vol.194 (2), p.713-748
Hauptverfasser:	Dinh, Nguyen, Long, Dang Hai
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Calculus of Variations and Optimal Control Optimization Engineering Mapping Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Perturbation Theory of Computation Topology Vector spaces
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