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

Fixexd point theory and applications

SJ Li¹  QL Wang² 

[1] College of Mathematics and Statistics, Chongqing University, Chongqing, China;College of Sciences, Chongqing Jiaotong University, Chongqing, China

关键词: Multiobjective Optimization;    Vector Optimization;    Vector Optimization Problem;    Multiobjective Optimization Problem;    Closed Convex Cone;   

DOI  :  10.1155/2011/857520

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY