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Nonlinear Separation and Optimality Conditions for Vector Quasi-equilibrium Problem
LI Geng-Hua,LI Sheng-Jie *
College of Mathematics and Statistics, Chongqing University, Chongqing 401331
*Correspondence author
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Funding: 高等学校博士学科点专项科研基金资助 (No.编号:20120191110031)
Opened online:17 May 2016
Accepted by: none
Citation: LI Geng-Hua,LI Sheng-Jie.Nonlinear Separation and Optimality Conditions for Vector Quasi-equilibrium Problem[OL]. [17 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4687749
 
 
In this paper, we employ the image space analysis method to investigate vector quasi-equilibrium problems (for short, VQEP) with constrains. By using two weak separation functions and strong separation functions, we obtain some optimality conditions for weakly efficient solution and globally efficient solution to VQEP with constraints in the sense of image space analysis.
Keywords:Vector optimization; Vector quasi-equilibrium problem; Image space analysis; Nonlinear weak (strong) separation function; Optimality condition.
 
 
 

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