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

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Z. Y. Peng ◽  
X. B. Li
Keyword(s):  
Metric Space ◽  
Lower Semicontinuity ◽  
Ky Fan Inequality ◽  
Solution Maps ◽  
Linear Metric Space ◽  
Ky Fan ◽  
Upper And Lower Semicontinuity

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.

scholarly journals Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Y. D. Xu
Keyword(s):  
Lower Semicontinuity ◽  
Solution Set ◽  
Ky Fan Inequality ◽  
Nonlinear Scalarization ◽  
Solution Mapping ◽  
Ky Fan ◽  
Upper And Lower Semicontinuity

Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization technique. These results extend and improve the recent ones in the literature. Some examples are given to illustrate our results.

scholarly journals A note on semicontinuity to a parametric generalized Ky Fan inequality

2012 ◽  
Vol 2 (4) ◽  
pp. 779-784
Author(s):  
Chunrong Chen ◽  
◽  
Zhimiao Fang ◽  
Keyword(s):  
Ky Fan Inequality ◽  
Ky Fan

scholarly journals Ky Fan inequality and bounds for differences of means

2003 ◽  
Vol 2003 (16) ◽  
pp. 995-1002 ◽  
Author(s):  
Peng Gao
Keyword(s):  
Ky Fan Inequality ◽  
Equivalent Relation ◽  
Ky Fan

We prove an equivalent relation between Ky Fan-type inequalities and certain bounds for the differences of means. We also generalize a result of Alzer et al. (2001).

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