Results 21 to 30 of about 10,703 (163)

A generalization of Ky Fan′s inequality [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
Let Pn,r(x) be the generalized weighted means. Let F(x) be a C1 function, y = y(x) an implicit decreasing function defined by f(x, y) = 0 and 0 < m < M ≤ m′, n ≥ 2, xi ∈ [m, M], yi ∈ [m′, M′]. Then for −1 ≤ r ≤ 1, if , ⋅M/m′ A similar result exists for . By specifying f(x, y) and F(x), we get various generalizations of Ky Fan′s inequality.
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Maximal lengths of exceptional collections of line bundles [PDF]

, 2010
In this paper we construct infinitely many examples of toric Fano varieties with Picard number three, which do not admit full exceptional collections of line bundles. In particular, this disproves King's conjecture for toric Fano varieties.
Alexander I. Efimov, Batyrev, Borisov, Borisov, Costa, Fang, Hille, Hille, Kawamata, Michalek   +9 more
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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.
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Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality

Abstract and Applied Analysis, 2014
Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization ...
Y. D. Xu
doaj   +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.
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Nash’s Existence Theorem for Non-Compact Strategy Sets

Mathematics
In this paper, we apply the classical FKKM lemma to obtain the Ky Fan minimax inequality defined on nonempty non-compact convex subsets in reflexive Banach spaces, and then we apply it to game theory and obtain Nash’s existence theorem for non-compact ...
Xinyu Zhang, Chunyan Yang, Renjie Han, Shiqing Zhang   +3 more
doaj   +1 more source

Continuity of the Solution Maps for Generalized Parametric Set-Valued Ky Fan Inequality Problems

Journal of Applied Mathematics, 2012
Under new assumptions, we provide suffcient conditions for the (upper and lower) semicontinuity and continuity of the solution mappings to a class of generalized parametric set-valued Ky Fan inequality problems in linear metric space.
Z. Y. Peng, X. B. Li
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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

Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets

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 ...
Mohammad S. R. Chowdhury, Yeol Je Cho
doaj   +1 more source

Catalytic majorization and $\ell_p$ norms [PDF]

, 2007
An important problem in quantum information theory is the mathematical characterization of the phenomenon of quantum catalysis: when can the surrounding entanglement be used to perform transformations of a jointly held quantum state under LOCC (local ...
Aubrun, Guillaume, Nechita, Ion
core   +2 more sources