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.

引用

页数：9

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