Results 11 to 20 of about 551,551 (65)
Generalized Equilibrium Problems Related to Ky Fan Inequalities [PDF]
Abstract and Applied Analysis, 2014 We study a generalized equilibrium problem by using a nonsymmetric extension of Ky Fan’s inequality. As an application, we present a fixed point type algorithm inspired by a model from Tada and Takahashi (2007).
Ionel Rovenţa
openaire +4 more sources
Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018 It has been a long-standing problem posed by the first author in a conference in Marseille in 1990 to characterize semitopological semigroups which have common fixed point property when acting on a nonempty weak* compact convex subset of a dual Banach ...
Anthony To-Ming Lau, Yong Zhang
doaj +1 more source
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.
openaire +4 more sources
On a singular value inequality of Ky Fan and Hoffman [PDF]
Proceedings of the American Mathematical Society, 1993 It is shown that the identity operator is a best unitary approximant to any positive measurable operator affiliated with a semifinite von Neumann algebra equipped with a distinguished faithful normal semifinite trace.
Dodds, Peter G., Dodds, Theresa K.-Y.
openaire +2 more sources
A Converse of the Jensen Inequality for Convex Mappings of Several Variables and Applications [PDF]
, 1999 In this paper we point out a converse result of the celebrated Jensen inequality for differentiable convex mappings of several variables and apply it to counterpart well-known analytic inequalities. Applications to Shannon's and Rényi's entropy mappings
Dragomir, Sever S
core +5 more sources
On a Class of Ky Fan-Type Inequalities [PDF]
, 2007 In this paper, we study one class of Ky Fan-type inequalities, which has ties with the original Ky Fan inequality.
Gao, Peng
core +6 more sources
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]
Dragomir, Sever S +1 more
openaire +1 more source
Evolution of the Minimax Inequality of Ky Fan [PDF]
Journal of Operators, 2013 There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period.
openaire +1 more source
Generalization of a Matrix Inequality of Ky Fan
Journal of Mathematical Analysis and Applications, 1995 The authors give some new and interesting inequalities for matrices. One of the main results is: Let \(f : I \subset \mathbb{R} \to \mathbb{R}\) be a convex function and \(A_j\), \(j = 1, \ldots, k\), are Hermitian matrices with eigenvalues in \(I\), \(x_j \in \mathbb{C}^n\), \(j = 1, \ldots, k\), with \(\sum^k_{j = 1} (x_j, x_j) = 1\). Then \[ f \left(
Mond, B., Pečarić, J. E.
openaire +1 more source
A new approach to Ky Fan‐type inequalities [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The study of the behavior of means under equal increments of their variables provides a new approach to Ky Fan‐type inequalities. Via this approach we are able to prove some new results on Ky Fan‐type inequalities. We also prove some inequalities involving the symmetric means.
openaire +2 more sources