Results 21 to 30 of about 1,098,345 (151)
Neural Network to Solve Concave Games
International Journal of Computer Games Technology, 2014 The issue on neural network method to solve concave games is concerned. Combined with variational inequality, Ky Fan inequality, and projection equation, concave games are transformed into a neural network model.
Zixin Liu, Nengfa Wang
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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
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Weighted entropy: basic inequalities
Modern Stochastics: Theory and Applications, 2017 This paper represents an extended version of an earlier note [10]. The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-dependent, through the weight function.
Mark Kelbert, Izabella Stuhl, Yuri Suhov
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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
MathematicsIn 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 +3 more
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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.
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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.
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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
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On a minimax inequality of Ky Fan [PDF]
Proceedings of the American Mathematical Society, 1987 An extension of a minimax inequality of Ky Fan is given. It is then used to generalize to the set-valued setting a fixed point theorem of Ky Fan.
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