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On $L_p$ Ky Fan determinant inequalities
Revista de la Unión Matemática ArgentinaBingxiu Lyu, Danni Xu
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On Dual Invex Ky Fan Inequalities
Journal of Optimization Theory and Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Farajzadeh, A. P., Noor, M. A.
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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 +2 more
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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 +2 more
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A localized version of Ky Fan’s minimax inequality
Nonlinear Analysis: Theory, Methods & Applications, 1999The celebrated Ky Fan's minimax inequality concerns a convex compact set \(K\) in some normed space, and a bivariate function \(f: K\times K\to R\). The authors establish an equivalent version of Ky Fan's result, but which has a ``local'' flavor: it involves the tangent cone to \(K\) and a certain type of Clarke's generalized derivative of \(f\).
Kassay, Gábor, Páles, Zsolt
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Solvability of vector Ky Fan inequalities with applications
Journal of Systems Science and Complexity, 2013zbMATH 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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Hölder Continuity of the Solution Set of the Ky Fan Inequality
Journal of Optimization Theory and Applications, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiao-Bing Li, Xian-Jun Long, J. Zeng
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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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On Some Generalizations and Refinements of a Ky Fan Inequality
Southeast Asian Bulletin of Mathematics, 2000This paper proves various extensions of the Ky Fan inequality and also gives an interesting proof, using Levinson 's inequality, of a previous extension by the same author [Southeast Asian Bull. Math. 22, No. 4, 363-372 (1998; Zbl 0947.26022)]. In particular we have the following results: for any \(k\geq 1\), \[ (k-G_n')/(k-A_n')\leq A_n/G_n \] and if \
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