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On the Lower Semicontinuity of the Solution Mappings to Parametric Weak Generalized Ky Fan Inequality

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Abstract

In this paper, we obtain some stability results for parametric weak generalized Ky Fan Inequality with set-valued mappings. Under new assumptions, which are weaker than the assumption of C-strict monotonicity, we provide sufficient conditions for the lower semicontinuity of the solution maps to two classes of parametric weak generalized Ky Fan Inequalities in Hausdorff topological vector spaces. These results extend and improve some results in the literature.

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Authors and Affiliations

  1. Department of Mathematics, Inner Mongolia University, Hohhot, 010021, P.R. China

    Z. Y. Peng

  2. College of Science, Chongqing JiaoTong University, Chongqing, 400074, China

    Z. Y. Peng

  3. School of Mathematics, Chongqing Normal University, Chongqing, 400047, China

    X. M. Yang & J. W. Peng

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  1. Z. Y. Peng
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  2. X. M. Yang
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  3. J. W. Peng
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Correspondence to Z. Y. Peng or X. M. Yang.

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Peng, Z.Y., Yang, X.M. & Peng, J.W. On the Lower Semicontinuity of the Solution Mappings to Parametric Weak Generalized Ky Fan Inequality. J Optim Theory Appl 152, 256–264 (2012). https://doi.org/10.1007/s10957-011-9883-6

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  • DOI: https://doi.org/10.1007/s10957-011-9883-6

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