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April  2010, 6(2): 381-392. doi: 10.3934/jimo.2010.6.381

Higher-order sensitivity analysis in nonconvex vector optimization

Qilin Wang 1, and  S. J. Li 2,

1. 

College of Mathematics and Science, Chongqing University, Chongqing 400044, China
2. 

College of Mathematics and Science, Chongqing University, Chongqing, 400044, China

Received  May 2009 Revised  January 2010 Published  March 2010

This paper deals with higher-order sensitivity analysis in nonconvex vector optimization. By virtue of higher-order adjacent derivatives introduced in (Aubin and Frankowska, Set-valued Analysis, Birkh$\ddot{a}$user, Boston, 1990), relationships between higher-order derivatives of a set-valued map and its profile map are discussed. Some results concerning higher-order sensitivity analysis are obtained in nonconvex vector optimization.
Keywords: nonconvex vector optimization, (weak) perturbation maps., Higher-order sensitivity analysis, higher-order adjacent derivatives.
Mathematics Subject Classification: 90C26, 90C31, 49J5.
Citation: Qilin Wang, S. J. Li. Higher-order sensitivity analysis in nonconvex vector optimization. Journal of Industrial & Management Optimization, 2010, 6 (2) : 381-392. doi: 10.3934/jimo.2010.6.381
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