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Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality

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  • Y. D. Xu

Abstract

Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization technique. These results extend and improve the recent ones in the literature. Some examples are given to illustrate our results.

Suggested Citation

  • Y. D. Xu, 2014. "Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:451521
    DOI: 10.1155/2014/451521
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    References listed on IDEAS

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    1. S. J. Li & Z. M. Fang, 2010. "Lower Semicontinuity of the Solution Mappings to a Parametric Generalized Ky Fan Inequality," Journal of Optimization Theory and Applications, Springer, vol. 147(3), pages 507-515, December.
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