Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
1 College of Sciences, Chongqing Jiaotong University, Chongqing 400074, China
2 College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China
Fixed Point Theory and Applications 2011, 2011:857520 doi:10.1155/2011/857520Published: 13 February 2011
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.