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Title: About Semicontinuity of Set-Valued Maps and Stability of Quasivariational Inclusions
Authors: Lâm, Quốc Anh
Phan, Quốc Khánh
Đinh, Ngọc Quý
Keywords: Semi-limits
Solution maps
Quasivariational inclusions
Quasivariational relation problems
Quasivariational equilibrium problems
Issue Date: 2014
Series/Report no.: Set-Valued and Variational Analysis;22 .- p.533-555
Abstract: We propose several additional kinds of semi-limits and corresponding notions of semic ontinuity of a set-valued map. They can be used additionally to known basic concepts of semicontinuity to have a clearer insight of local behaviors of maps. Then, we investigate semicontinuity properties of solution maps to a general parametric quasivariational inclusion, which is shown to include most of optimization-related problems. Consequences are derived for several particular problems. Our results are new or generalize/improve recent existing ones in the literature.
URI: http://localhost:8080//jspui/handle/123456789/5030
Appears in Collections:Tạp chí quốc tế

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