caa a22 4500 386307318 CHVBK 20180307111533.0 cr unu---uuuuu 161130e198810 xx s 000 0 eng 10.1017/S144678870003007X doi S144678870003007X pii (NATIONALLICENCE)cambridge-10.1017/S144678870003007X A geometric property of convex sets with applications to minimax type inequalities and fixed point theorems [Elektronische Daten] A geometric property of convex sets which is equivalent to a minimax inequality of the Ky Fan type is formulated. This property is used directly to prove minimax inequalities of the von Neumann type, minimax inequalities of the Fan-Kneser type, and fixed point theorems for inward and outward maps. Copyright © Australian Mathematical Society 1988 primary 52 A 07 nationallicence 49 A 40 nationallicence secondary 47 H 10 nationallicence minimax inequality nationallicence fixed point nationallicence inward and outward maps nationallicence partition of unity nationallicence convex set nationallicence topological vector space nationallicence Shih Mau-Hsiang Department of Mathematics, Chung Yuan University Chung-Li, Taiwan Republic of China Tan Kok-Keong Department of Mathematics, Statistics and Computing Science, Dalhousie University Halifax, Nova Scotia B3H 3J5, Canada Journal of the Australian Mathematical Society Cambridge University Press 45/2(1988-10), 169-183 1446-7887 45:2<169 1988 45 JAZ https://doi.org/10.1017/S144678870003007X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S144678870003007X text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shih Mau-Hsiang Department of Mathematics, Chung Yuan University Chung-Li, Taiwan Republic of China NATIONALLICENCE 700 1- Tan Kok-Keong Department of Mathematics, Statistics and Computing Science, Dalhousie University Halifax, Nova Scotia B3H 3J5, Canada NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 45/2(1988-10), 169-183 1446-7887 45:2<169 1988 45 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge