著者

Yukio Takeuchi

出版者

The Japanese Society for Mathematical Economics

雑誌

数理経済学会誌 (ISSN:24363162)

巻号頁・発行日

vol.1, pp.17-22, 2022 (Released:2022-03-31)

参考文献数

7

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In the Euclidean space of all real numbers, we know that the Brouwer fixed point theorem and Poincaré–Miranda’s theorem are derived directly from the intermediate value theorem. So, Brouwer’s theorem is a partial extension of the intermediate value theorem. Then, in this note, we prove an extension of the intermediate value theorem itself in the n-dimensional Euclidean space. Maybe it should be called the intermediate point principle.