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Title: On Higher-Order Sensitivity Analysis in Nonsmooth Vector Optimization
Authors: Huỳnh, Thị Hồng Diễm
Phan, Quốc Khánh
Lê, Thanh Tùng
Keywords: Sensitivity
Higher-orderradial-contingent derivative
Higher-order contingent-type derivative
Set-valued vector optimization
Perturbation map
Weak perturbation map
Issue Date: 2014
Series/Report no.: Journal of Optimization Theory and Applications;162 .- p.463-488
Abstract: We propose the notion of higher-order radial-contingent derivative of a set-valued map, develop some calculus rules and use them directly to obtain optimality conditions for several particular optimization problems. Then we employ this derivative together with contingent-type derivatives to analyze sensitivity for nonsmooth vector optimization. Properties of higher-order contingent-type derivatives of the perturbation and weak perturbation maps of a parameterized optimization problem are obtained.
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