Lower semicontinuity of approximate solution mappings for parametric generalized vector equilibrium problems

被引：3
|
作者：
Wangkeeree, Rabian [1 ]
Boonman, Panatda [1 ]
Preechasilp, Pakkapon [2 ]
机构：
[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand
[2] Pibulsongkram Rajabhat Univ, Program Math, Fac Educ, Phitsanulok 65000, Thailand
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
lower semicontinuity; approximate solution mapping; parametric generalized vector equilibrium problems; scalarization method; CONTINUITY;
D O I：
10.1186/1029-242X-2014-421
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain sufficient conditions for the lower semicontinuity of an approximate solution mapping for a parametric generalized vector equilibrium problem involving set-valued mappings. By using a scalarization method, we obtain the lower semicontinuity of an approximate solution mapping for such a problem without the assumptions of monotonicity and compactness.
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页数：9
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