Open Access Research Article

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

QL Wang1* and SJ Li2

Author Affiliations

1 College of Sciences, Chongqing Jiaotong University, Chongqing 400074, China

2 College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China

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Fixed Point Theory and Applications 2011, 2011:857520  doi:10.1155/2011/857520

Published: 13 February 2011

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.