Interior fixed points of unit-sphere-preserving Euclidean maps
Schirmer proved that there is a class of smooth self-maps of the unit sphere in Euclidean n-space with the property that any smooth self-map of the unit ball that extends a map of that class must have at least one fixed point in the interior of the ball. We generalize Schirmer's result by provi...
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| Main Authors: | , , , |
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| 格式: | 雜誌 |
| 出版: |
2017
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| 在線閱讀: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84902592555&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42928 |
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| 機構: | Chiang Mai University |
| 總結: | Schirmer proved that there is a class of smooth self-maps of the unit sphere in Euclidean n-space with the property that any smooth self-map of the unit ball that extends a map of that class must have at least one fixed point in the interior of the ball. We generalize Schirmer's result by proving that a smooth self-map of Euclidean n-space that extends a self-map of the unit sphere of that class must have at least one fixed point in the interior of the unit ball. © 2012 Khamsemanan et al.; licensee Springer. |
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