Second-order contingent derivatives of set-valued mappings with application to set-valued optimization

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… (More)
DOI: 10.1016/j.amc.2011.12.064

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Cite this paper

@article{Li2012SecondorderCD, title={Second-order contingent derivatives of set-valued mappings with application to set-valued optimization}, author={S. J. Li and X. K. Sun and J. Zhai}, journal={Applied Mathematics and Computation}, year={2012}, volume={218}, pages={6874-6886} }