scholarly journals Some inequalities related to Ky Fan inequality on time scales

2021 ◽  
Vol 37 (1) ◽  
pp. 101-108
Author(s):  
CRISTIAN DINU ◽  
DANIELA DĂNCIULESCU ◽  
ALEXANDRU ŢUGUI
Keyword(s):  
Time Scales ◽  
Ky Fan Inequality ◽  
Economic Context ◽  
Ky Fan ◽  
Economic Studies

In the framework of the time scales, we present some improved versions of the Ky-Fan inequality for functions, using some weights that take both negative and positive values. In addition, we consider a perspective to use these models in the economic context, since Economics offers many opportunities for time scales applications. Thus, time scales provide not only an unification for discrete and continuous mathematics, but also for the discrete and continuous approaches in economic studies.

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 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 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).

Extended vector Ky Fan inequality

OPSEARCH ◽  
2013 ◽  
Vol 51 (4) ◽  
pp. 603-614 ◽  
Author(s):  
Rais Ahmad ◽  
Mohd Akram
Keyword(s):  
Ky Fan Inequality ◽  
Ky Fan

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 On the Ky Fan inequality and some of its applications

2008 ◽  
Vol 56 (9) ◽  
pp. 2279-2284 ◽  
Author(s):  
J.L. Díaz-Barrero ◽  
J.J. Egozcue ◽  
J. Gibergans-Báguena
Keyword(s):  
Ky Fan Inequality ◽  
Ky Fan

scholarly journals On a Class of Ky Fan-Type Inequalities

2009 ◽  
Vol 2009 ◽  
pp. 1-11
Author(s):  
Peng Gao
Keyword(s):  
Ky Fan Inequality ◽  
Ky Fan

We study one class of Ky Fan-type inequalities, which has ties with the original Ky Fan inequality. Our result extends the known ones.

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