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April  2009, 5(2): 341-349. doi: 10.3934/jimo.2009.5.341

Well-Posedness for vector quasi-equilibrium problems with applications

Nan-Jing Huang 1, , Xian-Jun Long 2, and  Chang-Wen Zhao 3,

1. 

Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064
2. 

College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
3. 

College of Business and Management, Sichuan University, Chengdu, Sichuan 610064, China

Received  March 2008 Revised  September 2008 Published  April 2009

In this paper, we introduce the concept of well-posedness for the vector quasi-equilibrium problem. We obtain some necessary and sufficient conditions for well-posedness of vector quasi-equilibrium problems. As applications, we investigate the well-posedness for vector quasi-variational inequality problems and vector quasi-optimization problems.
Keywords: vector quasi-optimization problem, Vector quasi-equilibrium problem, vector quasi-variational inequality problem, approximating sequence., well-posedness.
Mathematics Subject Classification: Primary: 49K40, 90C3.
Citation: Nan-Jing Huang, Xian-Jun Long, Chang-Wen Zhao. Well-Posedness for vector quasi-equilibrium problems with applications. Journal of Industrial & Management Optimization, 2009, 5 (2) : 341-349. doi: 10.3934/jimo.2009.5.341
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