Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630110 | Applied Mathematics and Computation | 2012 | 13 Pages |
Abstract
In this paper, a family of parameterized set-valued optimization problems, whose constraint set depends on a parameter, are considered. Some calculus rules are obtained for calculating the second-order contingent derivatives of the composition and sum of two set-valued mappings. Then, by using these calculus rules, some results concerning second-order sensitivity analysis are established, and an explicit expression for the second-order contingent derivative of the (weak) perturbation mapping in the set-valued optimization problems is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S.J. Li, X.K. Sun, J. Zhai,