Journal of Global Optimization

, Volume 52, Issue 2, pp 243–252 | Cite as

Second-order differentiability of generalized perturbation maps

  • S. J. Li
  • C. M. Liao


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.


Generalized equation Generalized perturbation map Second-order proto-differentiability Second-order semidifferentiability Second-order lower semidifferentiability 


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Copyright information

© Springer Science+Business Media, LLC. 2011

Authors and Affiliations

  1. 1.College of Mathematics and StatisticsChongqing UniversityChongqingChina

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