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Results on Solution Continuity for Unified Set-valued Vector Equilibrium Problems
Ye XiuLian,CHEN Chun-Rong *,CHEN Chun-Rong *
College of Mathematics and Statistics, Chongqing University, Chongqing 401331
*Correspondence author
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Funding: Fundamental Research Funds for the Central Universities (No.106112017CDJZRPY0020)
Opened online:19 January 2021
Accepted by: none
Citation: Ye XiuLian,CHEN Chun-Rong,CHEN Chun-Rong.Results on Solution Continuity for Unified Set-valued Vector Equilibrium Problems[OL]. [19 January 2021] http://en.paper.edu.cn/en_releasepaper/content/4753460
 
 
The stability analysis of unified set-valued vector equilibrium problems via improvement sets is discussed in this paper. First, we obtain the linear scalarization characterizations to solutions for unified weak set-valued vector equilibrium problems and to $E$-Benson proper efficient solutions for unified set-valued vector equilibrium problems. Then, by the linear scalarization characterizations, the solution continuity and the $E$-Benson proper efficient solution continuity for parametric unified weak set-valued vector equilibrium problems and parametric unified set-valued vector equilibrium problems are established, respectively.
Keywords:Unified set-valued vector equilibrium problems; Improvement set; Scalarization; Solution continuity; Benson proper efficiency
 
 
 

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