Journal of the Korean Mathematical Society (대한수학회지)
- Volume 35 Issue 4
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- Pages.932-944
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- 1998
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
A NEW MINIMUM THEOREM AND ITS APPLICATIONS
- Kim, Won-Kyu (Department of Mathematics Education Chungbuk National University) ;
- Rim, Dong-Il (Department of Mathematics Chungbuk National University) ;
- Im, Sung-Mo (Department of Mathematics Chungbuk National University)
- Published : 1998.11.01
Abstract
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.