Journal of Applied Mathematics
Volume 2012 (2012), Article ID 691401, 11 pages
Research Article

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

Z. Y. Peng1,2 and X. B. Li1,3

1College of Science, Chongqing Jiaotong University, Chongqing 400074, China
2Department of Mathematics, Inner Mongolia University, Hohhot 010021, China
3College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Received 24 January 2012; Revised 27 March 2012; Accepted 10 April 2012

Academic Editor: Ya Ping Fang

Copyright © 2012 Z. Y. Peng and X. B. Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.