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October  2014, 10(4): 1225-1234. doi: 10.3934/jimo.2014.10.1225

Lower semicontinuity of the solution mapping to a parametric generalized vector equilibrium problem

 1 College of Sciences, Chongqing Jiaotong University, Chongqing, 400074 2 College of Mathematics and Statistics, Chongqing University, Chongqing, 401331

Received  March 2013 Revised  September 2013 Published  February 2014

This paper deals with the lower semicontinuity of the solution mapping to a parametric generalized vector equilibrium problem. Under new assumptions, which do not contain any information about solution mappings, we establish the lower semicontinuity of the solution mapping to a parametric generalized vector equilibrium problem by using a scalarization method. These results improve the corresponding ones in recent literature. Some examples are given to illustrate our results.
Citation: Qilin Wang, Shengji Li. Lower semicontinuity of the solution mapping to a parametric generalized vector equilibrium problem. Journal of Industrial & Management Optimization, 2014, 10 (4) : 1225-1234. doi: 10.3934/jimo.2014.10.1225
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