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On the Stability of the Solution Sets of General Multivalued Vector Quasiequilibrium Problems

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Abstract

We give sufficient conditions for the semicontinuity of solution sets of general multivalued vector quasiequilibrium problems. All kinds of semicontinuities are considered: lower semicontinuity, upper semicontinuity, Hausdorff upper semicontinuity, and closedness. Moreover, we investigate the weak, middle, and strong solutions of quasiequilibrium problems. Many examples are provided to give more insights and comparisons with recent existing results.

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Authors and Affiliations

  1. Department of Mathematics, Cantho University, Cantho, Vietnam

    L. Q. Anh

  2. Department of Mathematics, International University of Hochiminh City, Thu Duc, Hochiminh City, Vietnam

    P. Q. Khanh

Authors
  1. L. Q. Anh
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  2. P. Q. Khanh
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Correspondence to P. Q. Khanh.

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Communicated by F. Giannessi.

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Anh, L.Q., Khanh, P.Q. On the Stability of the Solution Sets of General Multivalued Vector Quasiequilibrium Problems. J Optim Theory Appl 135, 271–284 (2007). https://doi.org/10.1007/s10957-007-9250-9

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  • DOI: https://doi.org/10.1007/s10957-007-9250-9

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