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UEG Week 2025 Poster Presentations
United European Gastroenterology Journal, Volume 13, Issue S8, Page S803-S1476, October 2025.
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Admissible maps, intersection results, coincidence theorems [PDF]
summary:We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem.
Balaj, Mircea
core
Coincidence points and maximal elements of multifunctions on convex spaces [PDF]
summary:Generalized and unified versions of coincidence or maximal element theorems of Fan, Yannelis and Prabhakar, Ha, Sessa, Tarafdar, Rim and Kim, Mehta and Sessa, Kim and Tan are obtained.
Park, Sehie
core
Ky Fan's Inequality for Set-Valued Maps with Vector-Valued Images (Nonlinear Analysis and Convex Analysis) [PDF]
Georgiev, Pando Gr., Tanaka, Tamaki
core
On $L_p$ Ky Fan determinant inequalities
Bingxiu Lyu, Danni Xu
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AN EXTENSION AND A CONVERSE OF KY FAN'S INEQUALITY
Alzer Horst
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A localized version of Ky Fan’s minimax inequality
Nonlinear Analysis: Theory, Methods & Applications, 1999The 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 \(f\).
Kassay, Gábor, Páles, Zsolt
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