Continuity of Solution Maps to Parametric Set Optimization Problems via Parametric Equilibrium Problems

被引：0
|
作者：
Lam Quoc Anh
Nguyen Huu Danh
Tran Ngoc Tam
机构：
[1] Cantho University,Department of Mathematics, Teacher College
[2] Taydo University,Department of Mathematics
[3] University of Science,Faculty of Mathematics and Computer Science
[4] Vietnam National University,Division of Computational Mathematics and Engineering, Institute for Computational Science
[5] Ton Duc Thang University,Faculty of Mathematics and Statistics
[6] Ton Duc Thang University,undefined
来源：
Acta Mathematica Vietnamica | 2020年 / 45卷
关键词：
Set optimization problem; Equilibrium problem; Nonlinear scalarization; Stability; Hausdorff continuity; 49K40; 90C31; 91B50;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：383 / 395
页数：12
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