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Title: Stability of generalized equations under nonlinear perturbations
Authors: Nguyễn, Thành Quí
Hoang, Ngoc Tuan
Keywords: Generalizede quation
Nonlinear perturbation
Local Lipschitz-like property
Normal cone mapping
Partial second-order subdifferential
Issue Date: 2017
Series/Report no.: Optimization Letters;12 .- p.799–815
Abstract: This paper studies solution stability of generalized equations over polyhedral convex sets. An exact formula for computing the Mordukhovich coderivative of normal cone operators to nonlinearly perturbed polyhedral convex sets is established based on a chain rule for the partial second-order subdifferential. This formula leads to a sufficient condition for the local Lipschitz-like property of the solution maps of the generalized equations under nonlinear perturbations.
URI: http://localhost:8080//jspui/handle/123456789/4987
Appears in Collections:Tạp chí quốc tế

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