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Title: On second-order proto-differentiabilty of perturbation maps
Authors: Lê, Thanh Tùng
Keywords: Second-order proto-differentiability
Second-order semi-differentiability
Parameterized vector optimization problems
Second-order sensitivity analysis
Issue Date: 2017
Series/Report no.: Set-Valued and Variational Analysis;.- p.1-19
Abstract: In this paper, second-order sensitivity analysis in vector optimization problems is considered. We prove that the efficient solution map and the efficient frontier map of a parameterized vector optimization problem are second-order proto-differentiable under some appropriate qualification conditions. Some sufficient conditions for inner and outer approximation of the second-order proto-derivative are also provided.
URI: http://localhost:8080//jspui/handle/123456789/5029
Appears in Collections:Tạp chí quốc tế

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