In this paper, higher-order sensitivity analysis in multiobjective optimization problem is considered. First, relations between higher-order contingent derivative, or their minima, of a set-valued map and its profile map are investigated. Then, properties of higher-order contingent derivatives of the perturbation maps of a parameterized optimization problem are obtained.
How to Cite this Article:
Le Thanh Tung, Higher-order contingent derivative of perturbation maps in multiobjective optimization, Journal of Nonlinear Functional Analysis 2015 (2015), Article ID 19.