Discrete fixed point theorem reconsidered |
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| Authors: | Takuya Iimura Kazuo Murota Akihisa Tamura |
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| Institution: | aDepartment of Management, Tokyo Metropolitan College, Tokyo 196-8540, Japan;bDepartment of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, Tokyo 113-8656, Japan;cDepartment of Mathematics, Keio University, Yokohama 223-8522, Japan |
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| Abstract: | The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura’s discrete fixed point theorem Iimura, T., 2003. A discrete fixed point theorem and its applications. Journal of Mathematical Economics 39, 725–742] and to present a corrected statement using the concept of integrally convex sets. |
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| Keywords: | Fixed point theorem Discrete set |
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