Sensitivity and stability for the second-order contingent derivative of the proper perturbation map in vector optimization |
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| Authors: | Q L Wang S J Li |
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| Institution: | 1.College of Sciences,Chongqing Jiaotong University,Chongqing,People’s Republic of China;2.College of Mathematics and Statistics,Chongqing University,Chongqing,People’s Republic of China |
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| 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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