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.
Z. Y. Peng. X. B. Li. "Continuity of the Solution Maps for Generalized Parametric Set-Valued Ky Fan Inequality Problems." J. Appl. Math. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/691401