Higher-order sensitivity analysis in set-valued optimization under Henig efficiency
Yihong Xu, Zhenhua Peng · Journal of Industrial and Management Optimization · 2016
The behavior of the perturbation map is analyzed quantitatively by using the concept of higher-order contingent derivative for the set-valued maps under Henig efficiency. By using the higher-order contingent derivatives and applying a separation theorem for convex sets, some results concerning higher-order sensitivity analysis are established.