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April  2015, 11(2): 661-671. doi: 10.3934/jimo.2015.11.661

## Stability of solution mapping for parametric symmetric vector equilibrium problems

 1 College of Sciences, Chongqing Jiaotong University, Chongqing, 400074, China 2 College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067

Received  October 2013 Revised  May 2014 Published  September 2014

This paper is concerned with the stability for a parametric symmetric vector equilibrium problem. A parametric gap function for the parametric symmetric vector equilibrium problem is introduced and investigated. By virtue of this function, we establish the sufficient and necessary conditions for the Hausdorff lower semicontinuity of solution mapping to a parametric symmetric vector equilibrium problem. The results presented in this paper generalize and improve the corresponding results in the recent literature.
Citation: Xiao-Bing Li, Xian-Jun Long, Zhi Lin. Stability of solution mapping for parametric symmetric vector equilibrium problems. Journal of Industrial & Management Optimization, 2015, 11 (2) : 661-671. doi: 10.3934/jimo.2015.11.661
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