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Scalarization and Optimality Conditions for Vector Equilibrium Problems via Improvement Sets in Real Linear Spaces
LIU Jia,CHEN Chun-Rong *
College of Mathematics and Statistics, Chongqing University, Chongqing 401331
*Correspondence author
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Funding: National Natural Science Foundation of China （No.11301567）
Opened online:27 September 2018
Accepted by: none
Citation: LIU Jia,CHEN Chun-Rong.Scalarization and Optimality Conditions for Vector Equilibrium Problems via Improvement Sets in Real Linear Spaces[OL]. [27 September 2018] http://en.paper.edu.cn/en_releasepaper/content/4746010
 
 
In this paper, we study vector equilibrium problems with the ordering relations defined via improvementsets in real linear spaces without assuming any topology. We deal with efficient solutions, weak efficient solutions, Benson and Henig proper efficient solutions. The linear scalarization characterizations of these solutions are established, moreover, optimization conditions via Lagrange multiplier rulers for vector equilibrium problems with constraints are also obtained. Our results generalized the corresponding ones in the literature.
Keywords:Vector equilibrium problems; Improvement set; Linear scalarization; Lagrange multiplier rules; Optimality conditions
 
 
 

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