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On a minimax inequality of Ky Fan [PDF]
Proceedings of the American Mathematical Society, 1987 An extension of a minimax inequality of Ky Fan is given. It is then used to generalize to the set-valued setting a fixed point theorem of Ky Fan.
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Minimax inequalities of Ky Fan
Applied Mathematics Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Ji Hui, Ma, Ruyun
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A new refinement of the Ky Fan inequality [PDF]
Mathematical Inequalities & Applications, 1999 Let \(A_n( \underline x), G_n( \underline x), I_n( \underline x)\) denote, respectively, the arithmetic, geometric and identric means of the positive \(n\)-tuple \(\underline x\). The famous Ky Fan inequality is: if \( 0< a_i\leq 1/2, 1\leq 2\leq n\) and if \(b_i = 1- a_i, 1\leq i\leq n\) then \(G_n( \underline a)\big/ G_n( \underline b)\leq A_n ...
Sándor, József, Trif, Tiberiu
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Journal of Mathematical Analysis and Applications, 1989 Two proofs are offered for the inequality \[ x_ 1^{1/n}x_ 2^{1/n}...x_ n^{1/n}(1-x_ 1)^{-1/n}(1-x_ 2)^{-1/n}...(1- x_ n)^{-1/n}\leq (x_ 1+x_ 2+...+x_ n)(n-x_ 1-x_ 2-x_ n)^{-1} \] (x\({}_ k\in]0,1/2]\), \(k=1,2,...,n)\) with \(= iff\) \(x_ 1=x_ 2=...=x_ n\). [For a generalization see \textit{N. Levison}, J. Math. Anal. Appl.
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Linear and Multilinear Algebra, 2011 There are several inequalities in the literature carrying the name of Ky Fan. We survey these well-known Ky Fan inequalities and some other significant inequalities generalized by Ky Fan and review some of their recent developments.
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On the Ky Fan inequality and some of its applications
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José Luis Díaz-Barrero +2 more
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Operator Ky Fan type inequalities [PDF]
Linear Algebra and its Applications, 2018 In this paper, we extend some significant Ky Fan type inequalities in a large setting to operators on Hilbert spaces and derive their equality conditions. Among other things, we prove that if $f:[0,\infty)\rightarrow[0,\infty)$ is an operator monotone function with $f (1) = 1$, $f'(1)=μ$, and associated mean $σ$, then for all operators $A$ and $B$ on a
S. Habibzadeh, J. Rooin, M.S. Moslehian
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On Some Generalized Ky Fan Minimax Inequalities [PDF]
Fixed Point Theory and Applications, 2009 AbstractSome generalized Ky Fan minimax inequalities for vector-valued mappings are established by applying the classical Browder fixed point theorem and the Kakutani-Fan-Glicksberg fixed point theorem.
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SOME MATRIX INEQUALITIES OF KY FAN TYPE
Tamkang Journal of Mathematics, 1995 Oneofthewell-knowngeneraliztionsoftheKantorovichinequalitywas given by Ky Fan who established his results for one positive definite matrix but for several vectors. Here we give corresponding results for several matrices and vectors. As well, a number of related inequalities are established.
Mond, B., Pečarić, J. E.
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Journal of Inequalities and Applications, 2010 We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex ...
Cho YeolJe, Chowdhury MohammadSR
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