Abstract
Sensitivity analysis and stability analysis in vector optimization are dealt with in this paper. First, some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. Secondly, the upper semicontinuity and lower semicontinuity of second-order contingent derivatives of set-valued maps are established. Finally, by virtue of the second-order contingent derivative of set-valued maps, quantitative information and qualitative information on the behavior of the proper perturbation map are obtained.
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Wang, Q.L., Li, S.J. Sensitivity and stability for the second-order contingent derivative of the proper perturbation map in vector optimization. Optim Lett 6, 731–748 (2012). https://doi.org/10.1007/s11590-011-0298-y
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DOI: https://doi.org/10.1007/s11590-011-0298-y