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Continuity of solution maps of parametric quasiequilibrium problems

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Abstract

In this article, we consider a parametric vector quasiequilibrium problem in topological vector spaces. Sufficient conditions for solution maps to be lower and Hausdorff lower semicontinuous, upper semicontinuous and continuous are established. Our results improve recent existing ones in the literature.

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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, 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. Continuity of solution maps of parametric quasiequilibrium problems. J Glob Optim 46, 247–259 (2010). https://doi.org/10.1007/s10898-009-9422-2

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  • DOI: https://doi.org/10.1007/s10898-009-9422-2

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