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System of vector quasi-equilibrium problems and its applications

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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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Authors and Affiliations

  1. Department of Mathematics, Chongqing Normal University, Chongqing, 400047, P. R. China

    Peng Jian-wei Doctor  (彭建文) (Associate Professor) & Yang Xin-min  (杨新民)

  2. School of Management, Fudan University, Shanghai, 200433, P. R. China

    Peng Jian-wei Doctor  (彭建文) (Associate Professor) & Zhu Dao-li  (朱道立)

Authors
  1. Peng Jian-wei Doctor  (彭建文)
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  2. Yang Xin-min  (杨新民)
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  3. Zhu Dao-li  (朱道立)
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Corresponding author

Correspondence to Peng Jian-wei Doctor  (彭建文).

Additional information

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

Chinese Library Classification

2000 Mathematics Subject Classification

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