Abstract
A new system of vector quasi-equilibrium problems is introduced and its existence of solution is proved. As applications, some existence results of weak Pareto equilibrium for both constrained multicriteria games and multicriteria games without constrained correspondences are also shown.
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Communicated by ZHANG Shi-sheng
Project supported by the National Natural Science Foundation of China (Nos.10171118 and 70432001), the Applied Basic Research Foundation of Chongqing (No.030801), the Natural Science Foundation of Chongqing (No.8409) and the Postdoctoral Science Foundation of China
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Peng, Jw., Yang, Xm. & Zhu, Dl. System of vector quasi-equilibrium problems and its applications. Appl Math Mech 27, 1107–1114 (2006). https://doi.org/10.1007/s10483-006-0811-y
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DOI: https://doi.org/10.1007/s10483-006-0811-y
Key words
- existence
- system of vector quasi-equilibrium problems
- multicriteria game
- C-upper semicontinuous
- weak Pareto equilibrium