J. Korean Math. Soc. 1998; 35(4): 933-944
Printed December 1, 1998
Copyright © The Korean Mathematical Society.
Won Kyu Kim, Dong Il Rim, and Sung Mo Im
Chungbuk National University, Chungbuk National University and Chungbuk National University
In this paper we first prove a new minimum theorem using the upper semicontinuity of minimizing functions, which is comparable to Berge's theorem. Next, as applications, we shall prove the existence of equilibrium in generalized games and the existence theorem of zeros.
Keywords: minimum theorem, generalized game, equilibrium,\break strong topology, fixed point
MSC numbers: Primary 90A15, 52A07; Secondary 59J50
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