Results 151 to 160 of about 387 (175)
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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 \(f\).
G Kassay, Zsolt Pales
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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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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.
X B Li, X J Long, Li X B
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Extended vector Ky Fan inequality
Opsearch, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rais Ahmad +2 more
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The Fan minimax inequality implies the Nash equilibrium theorem
Applied Mathematics Letters, 2011 We show that in an abstract convex space (E,D;Γ), the partial KKM principle implies the Ky Fan minimax inequality, from which we deduce a generalization of the Nash equilibrium ...
Sehie Park
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Equilibrium existence in games: Slight single deviation property and Ky Fan minimax inequality
Journal of Mathematical Economics, 2019 In this paper, we exhibit a relation between the Nash equilibrium existence problem in ordinal games and the Ky Fan minimax inequality. In this way, we obtain new sufficient conditions for the existence of equilibria. The main tools used in the paper are
Vincenzo Scalzo
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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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Computers and Mathematics With Applications, 1998 In this paper, we present two ways to study the existence of weight Nash-equilibria and Pareto equilibria for multiobjective games. One is the ‘fixed-point method’ which is well known; and the second is the application of ‘Ky Fan minimax inequality ...
Yu, J., Yuan, G.X.-Z.
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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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