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Extended vector Ky Fan inequality
OPSEARCH, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad, Rais, Akram, Mohd
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Ky Fan minimax inequality and non-linear variational inequalities
Nonlinear Analysis: Theory, Methods & Applications, 1997Some existence results for generalized variational inequalities were obtained using the generalizations of Ky Fan minimax theorems. In particular, diagonal convexity and quasi-convexity are studied and applied. These results provide an unified approach for many existing results for various variational inequalities.
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The inequality of Ky Fan and related results
Acta Applicandae Mathematicae, 1995This survey paper presents refinements, extensions, and variants of the well-known Ky Fan inequality \[ \prod^n_{i = 1} \bigl( y_i/(1 - y_i) \bigr)^{1/n} < \sum^n_{i = 1} y_i \left/ \sum^n_{i = 1} \right. (1 - y_i), \] valid for all real numbers \(y_i \in (0,1/2]\) \((i = 1, \ldots, n)\) which are not all equal.
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Ky Fan's inequality via convexity
2008Summary: Using the strict convexity and concavity of the function \( f(x)=\frac{1}{1+e^x}\) on \( [0,\infty)\) and \( (-\infty,0]\) respectively, we prove Ky Fan's inequality by separating the left and right hands of it by \( \frac{1}{G_n+G^{\prime }_n}\).
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On Linear Inequalities (Moment Inequalities) and Some Results of Ky Fan
Mathematische Nachrichten, 1974openaire +1 more source
AN EXTENSION AND A CONVERSE OF KY FAN'S INEQUALITY
Quaestiones Mathematicae, 1990openaire +1 more source