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Gap Functions and Error Bounds for VectorEquilibrium Problems
LI Geng-Hua 1,CHEN Xiao-Biao 2,LIU Jin-Kui 3
1.College of Mathematics and Statistics, Chongqing University, Chongqing 401331
2.Department of Physiology, Taiyuan Institute of Technology, Taiyuan 030008
3.College of Mathematics and Statistics, Chongqing University, Chongqing 401331;College of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100
*Correspondence author
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Funding: Chongqing Three Gorges University （No.Grant number:14ZD-14）
Opened online:26 December 2014
Accepted by: none
Citation: LI Geng-Hua,CHEN Xiao-Biao ,LIU Jin-Kui.Gap Functions and Error Bounds for VectorEquilibrium Problems[OL]. [26 December 2014] http://en.paper.edu.cn/en_releasepaper/content/4623559
 
 
In this paper, we intend to study VectorEquilibrium problems. Without any scalarization approach, the gapfunctions and their regularized versions for vector equilibriumproblems are obtained. Under mild conditions, we develop an errorbounds for vector equilibrium problems with strongly monotone data. As an application, we also get the gap functions and error bounds for the vector variational inequalities.
Keywords:Vector equilibrium problems; vector variational inequalities; Gapfunctions; Error bounds.
 
 
 

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