Discrete fixed point theorem reconsidered |
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| Institution: | 1. Department of Management, Tokyo Metropolitan College, Tokyo 196-8540, Japan;2. Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, Tokyo 113-8656, Japan;3. Department of Mathematics, Keio University, Yokohama 223-8522, Japan;1. Instituto del Desarrollo Humano, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150, B1613GSX, Los Polvorines, Buenos Aires, Argentina;2. National Council of Science and Technology (CONICET), Argentina;3. Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150, B1613GSX, Los Polvorines, Buenos Aires, Argentina;1. Instituto del Desarrollo Humano, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150 (B1613GSX), Los Polvorines, Buenos Aires, Argentina;2. National Council of Science and Technology (CONICET), Argentina;3. Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150 (B1613GSX), Los Polvorines, Buenos Aires, Argentina |
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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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