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Stability analysis for vector quasiequilibrium problems

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Abstract

This paper is devoted to the continuity of the solution mapping for vector quasiequilibrium problems under mapping perturbations. We show that the solution mapping is upper semicontinuous and Hausdorff upper semicontinuous. Sufficient conditions for the lower semicontinuity and Hausdorff lower semicontinuity of the solution mapping are established. Finally, we apply our results to traffic network problems as example.

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Authors and Affiliations

  1. Department of Mathematics, Beijing University of Technology, Beijing, 100124, People’s Republic of China

    Xiaodong Fan, Caozong Cheng & Haijun Wang

  2. Department of Mathematics, Bohai University, Jinzhou, 121013, Liaoning, People’s Republic of China

    Xiaodong Fan

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  1. Xiaodong Fan
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  2. Caozong Cheng
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  3. Haijun Wang
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Correspondence to Xiaodong Fan.

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Fan, X., Cheng, C. & Wang, H. Stability analysis for vector quasiequilibrium problems. Positivity 17, 365–379 (2013). https://doi.org/10.1007/s11117-012-0172-x

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  • DOI: https://doi.org/10.1007/s11117-012-0172-x

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