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

Journal of inequalities and applications

Rabian Wangkeeree¹ 

关键词: lower semicontinuity;    approximate solution mapping;    parametric generalized vector equilibrium problems;    scalarization method;   

DOI  :  10.1186/1029-242X-2014-421

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY