Original Research
The second-order contingent derivative of generalized perturbation maps
- University of Science, VNU-HCM
Correspondence to:
Anh Le Hoang Nguyen,
University of Science, VNU-HCM.
Email:
pvphuc@vnuhcm.edu.vn.
Published:
2018-11-29
Abstract
In the paper, we give some remarks on [1]. Then, we modify main results concerning the sum rule of second-order contingent derivatives for set-valued maps and its application to the sensitivity analysis of generalized perturbation maps. The obtained results are new and better than those in [1]. Some examples are proposed to illustrate our results.
Keywords:
second-order proto-differentiability,
second-order semi-differentiability,
metric subregularity
generalized perturbation map
set-valued map