Results 1 to 10 of about 212 (125)
On Logarithmic Convexity for Ky-Fan Inequality [PDF]
Journal of Inequalities and Applications, 2008 We give an improvement and a reversion of the well-known Ky-Fan inequality as well as some related results.
J. Pečarić, Matloob Anwar
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On a Class of Ky Fan-Type Inequalities [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We study one class of Ky Fan-type inequalities, which has ties with the original Ky Fan inequality. Our result extends the known ones.
Peng Gao
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Journal of Mathematical Analysis and Applications, 2002 The Ky Fan inequality asserts that \[ \left[ \prod_{i=1}^{n}x_{i}\biggl/\prod_{i=1}^{n}(1-x_{i})\right]
S S Dragomir
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On the Ky Fan inequality and some of its applications
Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J J Egozcue
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Mathematics, 2022 In this paper, we apply the existence of solutions of the Ky Fan minimax inequality to establish the existence of fuzzy strong Nash equilibria in generalized fuzzy games and strong Nash equilibria in fuzzy coalition generalized games.
Tieying Huang, Jiuqiang Liu
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On the Ky Fan inequality and related inequalities I [PDF]
Mathematical Inequalities & Applications, 2002 Ky Fan type inequalities for means of two or more variables are obtained. Refinements and improvements of known inequalities are derived. Applications to symmetric elliptic integrals of the first and second kind are also included.
Neuman, Edward, Sándor, József
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Mathematical Inequalities & Applications, 2001 The authors prove the Ky-Fan like inequalities \({\mathfrak H_n( \underline a; \underline w)\over\mathfrak H_n' ( \underline a; \underline w)}\leq {\mathfrak G_n( \underline a; \underline w)\over\mathfrak G_n' ( \underline a; \underline w)}\), where the notation \(\mathfrak H_n' ( \underline a; \underline w)\) for \(\mathfrak H_n' ( 1-\underline a ...
Gavrea, Ioan, Trif, Tiberiu
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Generalizations of the Nash Equilibrium Theorem in the KKM Theory
Fixed Point Theory and Applications, 2010 The partial KKM principle for an abstract convex space is an abstract form of the classical KKM theorem. In this paper, we derive generalized forms of the Ky Fan minimax inequality, the von Neumann-Sion minimax theorem, the von Neumann-Fan intersection ...
Sehie Park
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An extension of the Ky Fan inequality
CoRR, 2015 12 pages, 7 ...
Yuri M. Suhov, Salimeh Yasaei Sekeh
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Refinements of Ky Fan's Inequality [PDF]
Proceedings of the American Mathematical Society, 1993 Let \(x_ k\in]0,1/2]\) \((k=1,\dots,n)\), \[ A_ n=(x_ 1+\cdots+x_ n)/n,\;A_ n'=(1-x_ 1+\cdots+1-x_ n)/n, \] \[ G_ n=(x_ 1x_ 2,\dots,x_ n)^{1/n},\;G_ n'=((1-x_ 1)(1-x_ 2)\dots(1-x_ n))^{1/n}. \] The author states that both (1) \((1-G_ n)/(1-A_ n)\) and (2) \((1-G_ n')/(1-A_ n')\) lie between \(A_ n'/G_ n'\) and \(A_ n/G_ n\) with equality iff \(x_ 1=x_ ...
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