Continuity of the Solution Maps for Generalized Parametric Set-Valued Ky Fan Inequality Problems. (31st May 2012)

• Record Type: Journal Article
• Authors: Peng, Z. Y.; Li, X. B.
• Other Names: Fang Ya Ping Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-05-31
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/691401
• Languages: English
• ISSNs: 1110-757X

Abstract

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.