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Systems of Simultaneous Generalized Vector Quasiequilibrium Problems and their Applications

Author

Listed:
  • Q. H. Ansari

    (King Fahd University of Petroleum and Minerals
    Aligarh Muslim University)

  • L. J. Lin

    (National Changhua University of Education)

  • L. B. Su

    (National Changhua University of Education)

Abstract

In this paper, we introduce systems of simultaneous generalized vector equilibrium problems and prove the existence of their solutions. As application of our results, we derive the existence theorems for solutions of systems of vector saddle–point problems. Consequently, we prove the existence of a solution of systems of generalized minimax inequalities. Further application of our results is also given to establish the existence of a solution of a Debreu-type equilibrium problem for vector-valued functions.

Suggested Citation

  • Q. H. Ansari & L. J. Lin & L. B. Su, 2005. "Systems of Simultaneous Generalized Vector Quasiequilibrium Problems and their Applications," Journal of Optimization Theory and Applications, Springer, vol. 127(1), pages 27-44, October.
    • Handle: RePEc:spr:joptap:v:127:y:2005:i:1:d:10.1007_s10957-005-6391-6
    DOI: 10.1007/s10957-005-6391-6
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    References listed on IDEAS

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    1. Q. H. Ansari & S. Schaible & J. C. Yao, 2000. "System of Vector Equilibrium Problems and Its Applications," Journal of Optimization Theory and Applications, Springer, vol. 107(3), pages 547-557, December.
    2. J. Fu, 1997. "Simultaneous Vector Variational Inequalities and Vector Implicit Complementarity Problem," Journal of Optimization Theory and Applications, Springer, vol. 93(1), pages 141-151, April.
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