Results 131 to 140 of about 1,098,345 (151)

On Ky Fan-type inequalities

Aequationes mathematicae, 2001
The following refinement of the equal weight Ky Fan inequality is due to \textit{W. Wang} and \textit{P. Wang} [Acta Math. Sin. 27, 485-497 (Zbl 0561.26013)]: \[ \Biggl({\mathfrak G_n( \underline a)\over\mathfrak G_n' ( \underline a)}\Biggr)^n\leq \Biggl( {\mathfrak A_n( \underline a)\over\mathfrak A_n' ( \underline a)}\Biggr)^{n- 1}\leq {\mathfrak H_n(
Alzer, Horst, Ruscheweyh, Stephan, Salinas, Luis   +2 more
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Solvability of vector Ky Fan inequalities with applications

Journal of Systems Science and Complexity, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian Yu 0004, Dingtao Peng
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On an inequality of Ky Fan, III

International Journal of Mathematical Education in Science and Technology, 2001
(2001). On an inequality of Ky Fan, III. International Journal of Mathematical Education in Science and Technology: Vol. 32, No. 1, pp. 133-136.
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Ky Fan minimax inequality and non-linear variational inequalities

Nonlinear Analysis: Theory, Methods & Applications, 1997
Some 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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Ky Fan's inequality via convexity

2008
Summary: 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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The isoperimetric inequality for the Ky Fan norm

We show that, among all measurable sets $Ω\subset \mathbb{C}$ with finite area $s$, the disc of area $s$ maximizes the Ky Fan norm, which is defined as the sum of the first $N$ eigenvalues of the Toeplitz operator with symbol $\mathbf{1}_{Ω}$ on the Fock space. For $N=1$ this reduces to Nicola-Tilli's celebrated Faber--Krahn inequality and for general $
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Connectedness of Solution Sets for Weak Generalized Symmetric Ky Fan Inequality Problems via Addition-Invariant Sets

Journal of Optimization Theory and Applications, 2020
Xinmin Yang
exaly  

The Fan minimax inequality implies the Nash equilibrium theorem

Applied Mathematics Letters, 2011
Sehie Park
exaly  

Equilibrium existence in games: Slight single deviation property and Ky Fan minimax inequality

Journal of Mathematical Economics, 2019
Vincenzo Scalzo
exaly  

Hölder Continuity of Solutions to Parametric Weak Generalized Ky Fan Inequality

Journal of Optimization Theory and Applications, 2011
X B Li
exaly