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Continuity of the Solution Maps for Generalized Parametric Set‐Valued Ky Fan Inequality Problems

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  • Z. Y. Peng
  • X. B. Li

Abstract

Under new assumptions, we provide suffcient conditions for the (upper and lower) semicontinuity and continuity of the solution mappings to a class of generalized parametric set‐valued Ky Fan inequality problems in linear metric space. These results extend and improve some known results in the literature (e.g., Gong, 2008; Gong and Yoa, 2008; Chen and Gong, 2010; Li and Fang, 2010). Some examples are given to illustrate our results.

Suggested Citation

  • Z. Y. Peng & X. B. Li, 2012. "Continuity of the Solution Maps for Generalized Parametric Set‐Valued Ky Fan Inequality Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:691401
    DOI: 10.1155/2012/691401
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    1. Z. Y. Peng & X. M. Yang & J. W. Peng, 2012. "On the Lower Semicontinuity of the Solution Mappings to Parametric Weak Generalized Ky Fan Inequality," Journal of Optimization Theory and Applications, Springer, vol. 152(1), pages 256-264, January.
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