Volume 5, Number 3, September 2009, pp. 465-475

X.W. Xue and S.J. Li
Key words:
set-valued maps, generalized perturbation map, contingent derivative, adjacent derivative
Mathematices Subject Classification: 47H04, 58C20, 90C31
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Copyright© 2009 Yokohama Publishers
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Abstract:
The aim of this paper is to study the derivatives of the generalized perturbation maps. Under some mild conditions, the contingent and adjacent derivatives of the generalized perturbation maps are obtained, respectively. Furthermore, the generalized perturbation maps are shown to be proto-differentiable under some stronger conditions.
On derivatives of the generalized perturbation maps