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

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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.

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Authors and Affiliations

  1. Hanoi University of Commerce, Mai Dich, 10307, Hanoi, Vietnam

    N. B. Minh

  2. Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam

    N. X. Tan

Authors
  1. N. B. Minh
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  2. N. X. Tan
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Correspondence to N. X. Tan.

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Minh, N.B., Tan, N.X. On the Existence of Solutions of Quasi-equilibrium Problems with Constraints. Math Meth Oper Res 64, 17–31 (2006). https://doi.org/10.1007/s00186-006-0059-3

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  • DOI: https://doi.org/10.1007/s00186-006-0059-3

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