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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

 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.
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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