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Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems

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Abstract

We introduce some definitions related to semicontinuity of multivalued mappings and discuss various kinds of semicontinuity-related properties. Sufficient conditions for the solution sets of parametric multivalued symmetric vector quasiequilibrium problems to have these properties are established. Comparisons of the solution sets of our two problems are also provided. As an example of applications of our main results, the mentioned semicontinuity-related properties of the solution sets to a lower and upper bounded quasiequilibrium problem are obtained as consequences.

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Authors and Affiliations

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

    Lam Quoc Anh

  2. Department of Mathematics, International University of Hochiminh City, Khu pho 6, Linh Trung, Thu Duc, Hochiminh City, Vietnam

    Phan Quoc Khanh

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  1. Lam Quoc Anh
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  2. Phan Quoc Khanh
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Correspondence to Phan Quoc Khanh.

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Anh, L.Q., Khanh, P.Q. Various kinds of semicontinuity and the solution sets of parametric multivalued symmetric vector quasiequilibrium problems. J Glob Optim 41, 539–558 (2008). https://doi.org/10.1007/s10898-007-9264-8

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  • DOI: https://doi.org/10.1007/s10898-007-9264-8

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