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Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization

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Author(s): Wang QL | Li SJ

Journal: Fixed Point Theory and Applications
ISSN 1687-1820

Volume: 2011;
Issue: 1;
Start page: 857520;
Date: 2011;
Original page

ABSTRACT
Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained.

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