Variational Sets of Perturbation Maps and Applications to Sensitivity Analysis for Constrained Vector Optimization

N. L. H. Anh () and P. Q. Khanh ()
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N. L. H. Anh: University of Science of Hochiminh City
P. Q. Khanh: International University of Hochiminh City

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 2, No 4, 363-384

Abstract: Abstract We consider sensitivity analysis in terms of variational sets for nonsmooth vector optimization. First, relations between variational sets, or their minima/weak minima, of a set-valued map and that of its profile map are obtained. Second, given an objective map, relationships between the above sets of this objective map and that of the perturbation map and weak perturbation map are established. Finally, applications to constrained vector optimization are given. Many examples are provided to illustrate the essentialness of the imposed assumptions and some advantages of our results.

Keywords: Nonsmooth vector optimization; Sensitivity analysis; Perturbation maps; Weak perturbation maps; Variational sets; Singular variational sets (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-012-0257-5

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