Continuity of the Solution Maps for Generalized Parametric Set‐Valued Ky Fan Inequality Problems
Zhongbo Peng, X. B. Li · Journal of Applied Mathematics · 2012
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.