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- Title
Continuity of the Solution Maps for Generalized Parametric Set-Valued Ky Fan Inequality Problems.
- Authors
Peng, Z. Y.; Li, X. B.
- 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.
- Subjects
GENERALIZATION; MATHEMATICAL mappings; SET theory; MATHEMATICAL inequalities; CONTINUOUS functions; METRIC spaces
- Publication
Journal of Applied Mathematics, 2012, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2012/691401