Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/100864
Title: Continuity of solution maps to parametric set optimization problems via parametric equilibrium problems
Authors: Lam, Quoc Anh
Nguyen, Huu Danh
Tran, Ngoc Tam
Keywords: Set optimization problem
Equilibrium problem
Nonlinear scalarization
Stability
Hausdorff continuity
Issue Date: 2020
Series/Report no.: Acta mathematica Vietnamica journal;Vol.45, No.02 .- P.383-395
Abstract: In this paper, we consider set optimization problems with respect to set less order relations. We introduce nonlinear scalarization functions for sets and study several properties of such functions. Using the concerning functions, we investigate relationships between set optimization problems and equilibrium problems. Sufficient conditions for the continuity of solution maps to such problems via equilibrium problems are established.
URI: https://dspace.ctu.edu.vn/jspui/handle/123456789/100864
ISSN: 0251-4184
Appears in Collections:Acta Mathematica Vietnamica 

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