Results 121 to 130 of about 1,098,345 (151)

A localized version of Ky Fan’s minimax inequality

Nonlinear Analysis: Theory, Methods & Applications, 1999
The 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 \(f\).
Gabor Kassay, Zsolt Pales
exaly   +3 more sources

Hölder Continuity of the Solution Set of the Ky Fan Inequality

Journal of Optimization Theory and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
X J Long, X B Li
exaly   +4 more sources

On Some Generalizations and Refinements of a Ky Fan Inequality

Southeast Asian Bulletin of Mathematics, 2000
This 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 \
exaly   +3 more sources

The inequality of Ky Fan and related results

Acta Applicandae Mathematicae, 1995
This survey paper presents refinements, extensions, and variants of the well-known Ky Fan inequality \[ \prod^n_{i = 1} \bigl( y_i/(1 - y_i) \bigr)^{1/n} < \sum^n_{i = 1} y_i \left/ \sum^n_{i = 1} \right. (1 - y_i), \] valid for all real numbers \(y_i \in (0,1/2]\) \((i = 1, \ldots, n)\) which are not all equal.
Horst Alzer
exaly   +2 more sources

Extended vector Ky Fan inequality

Opsearch, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rais Ahmad, Mohammad Akram
exaly   +2 more sources

On Dual Invex Ky Fan Inequalities

Journal of Optimization Theory and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Farajzadeh, A. P., Noor, M. A.
openaire   +2 more sources