| System of Generalized Symmetric Vector Quasi-Equilibrium Problems for Set-Valued Mappings |
| Received:December 17, 2007 Revised:May 22, 2008 |
| Key Words:
system of generalized symmetric vector quasi-equilibrium problems nonlinear scalarization function existence.
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| Fund Project:the National Natural Science Foundation of China (No.60574073); the Natural Science Foundation Project of Chongqing Science and Technology Commission (No.2007BB6117). |
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| Abstract: |
| In this paper, a system of generalized symmetric vector quasi-equilibrium problems for set-valued mappings is introduced. By using a scalarization method and a fixed-point theorem, the existence result for its solution is established. The main result extends the corresponding results in Fu (J. Math. Anal. Appl. 285, 708--713, 2003) and Zhang, Chen and Li (OR Transactions 10, 24--32, 2006). |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.06.019 |
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