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Generalized vector quasi-equilibrium problems

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Abstract

This paper deals with generalized vector quasi-equilibrium problems. Using a so-called nonlinear scalarization function and a fixed point theorem, existence theorems for two classes of generalized vector quasi-equilibrium problems are established.

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Author notes

  1. S. J. Li

    Present address: Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong

Authors and Affiliations

  1. Department of Information and Computer Sciences, College of Sciences, Chongqing University, Chongqing, 400044, China

    S. J. Li

  2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong

    K. L. Teo & X. Q. Yang

Authors
  1. S. J. Li
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  2. K. L. Teo
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  3. X. Q. Yang
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Corresponding author

Correspondence to S. J. Li.

Additional information

Manuscript received: May 2004/Final version received: October 2004

This research is partially supported by the Postdoctoral Fellowship Scheme of The Hong Kong Polytechnic University and the National Natural Science Foundation of China.

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Li, S.J., Teo, K.L. & Yang, X.Q. Generalized vector quasi-equilibrium problems. Math Meth Oper Res 61, 385–397 (2005). https://doi.org/10.1007/s001860400412

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  • DOI: https://doi.org/10.1007/s001860400412

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