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On the Existence of Solutions of Quasi-equilibrium Problems with Constraints

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  • N. Minh
  • N. Tan

Abstract

The quasi-equilibrium problems with constraints are formulated and some sufficient conditions on the existence of their solutions are shown. As special cases, we obtain several results on the existence of solutions of some vector quasivariational inequality and vector optimization problems. An application of the obtained results is given to show the existence of solutions of quasi-optimization problems with constraints. Copyright Springer-Verlag 2006

Suggested Citation

  • N. Minh & N. Tan, 2006. "On the Existence of Solutions of Quasi-equilibrium Problems with Constraints," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(1), pages 17-31, August.
    • Handle: RePEc:spr:mathme:v:64:y:2006:i:1:p:17-31
    DOI: 10.1007/s00186-006-0059-3
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    References listed on IDEAS

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    1. D. Chan & J. S. Pang, 1982. "The Generalized Quasi-Variational Inequality Problem," Mathematics of Operations Research, INFORMS, vol. 7(2), pages 211-222, May.
    2. Angelo Guerraggio & Nguyen Xuan Tan, 2002. "On general vector quasi-optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 55(3), pages 347-358, June.
    3. Angelo Guerraggio & Nguyen Xuan Tan, 2002. "On general vector quasi-optimization problems," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 55(3), pages 347-358, June.
    4. Jun-Yi Fu, 2000. "Generalized vector quasi-equilibrium problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(1), pages 57-64, September.
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    Cited by:

    1. H. Mohebi & M. Vatandoost, 2011. "Counterexamples on some articles on quasi-variational inclusion problems," Journal of Global Optimization, Springer, vol. 49(4), pages 707-712, April.

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