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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

 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.
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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