Second-order differentiability of generalized perturbation maps

Authors:
S. J. Li;C. M. Liao
Affiliations:
College of Mathematics and Statistics, Chongqing University, Chongqing, China 401331;College of Mathematics and Statistics, Chongqing University, Chongqing, China 401331
Venue:
Journal of Global Optimization
Year:
2012

Citing 7
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Abstract

In this paper, by using the second-order proto-differentiability and second-order lower semidifferentiability, second-order differential properties of a class of set-valued maps are investigated and an explicit expression of the second-order derivatives is obtained. Then, second-order sensitivity properties are discussed for generalized perturbation maps.