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Simultaneously, we also obtain some generalized Ky Fan minimax theorems for set-valued mappings, in which the minimization and the maximization of set-valued mappings are taken in the sense of vector optimization.doi:10.1007/s10898-012-9992-2Y. Zhang...
K. Fan, Minimax theorems,Proc. Acad. Sci. USA,39 (1953), 42–48. Google Scholar L. Danzer—B. Grünbaum—V. Klee, Helly's theorem and its relatives,Proc. of Symposia in pure Mathematics, Amer. Math. Soc. (Providence, Rhode Island, 1963). Google Scholar I. Joó, A simple proof...
M. Sion On general minimax theorems Pacific J. Math., 8 (1958), pp. 171-176 CrossrefView in ScopusGoogle Scholar Cited by (6) On the existence of constant selections 2000, Topology and its Applications Show abstract On Ky Fan's Section Theorem 1998, Journal of Mathematical Analysis and ...
A general minimax theorem This paper is concerned with minimax theorems for two-person zero-sum games ( X, Y, f ) with payoff f and as main result the minimax equality inf sup f (... A Irle - 《Zeitschrift Für Operations Research》 被引量: 284发表: 1985年 ...
A minimax theorem is a theorem that asserts that, under certain conditions, that is to say, The purpose of this article is to give the reader the flavor of the different kind of minimax theorems, and of the techniques that have been used to prove them. This is a very large area, and...
In classical matrix theory, there exist useful extremal characterizations of eigenvalues and their sums for Hermitian matrices (due to Ky Fan, Courant-Fischer-Weyl and Wielandt) and some consequences such as the majorization assertion in Lidskii's theore
(x, y). yEY xEX xEX yEY This is not an appropriate place to enter into the technical details of the proofs of minimax theorems, or into the history of the contribu tions to the solution of this basic problem in the last 7 decades. But we do want to stress its intrinsic interest...
Fan K (1961) A generalization of Tychonoffs fixed point theorem. Math Ann 142:305–310 Article MathSciNet Google Scholar Fan K (1984) Some properties of convex sets related to fixed point theorems. Math Ann 266:519–537 Article MathSciNet MATH Google Scholar George A, Veeramani P (1994...
Minimax inequalities equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz theorems The purpose of this note is to give further generalizations of the Ky Fan minimax inequality by relaxing the compactness and convexity of sets and the quas... YJ Lin,G Tian - 《Applied Mathematics & Optimization》 ...