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...
محفوظ في:
| المؤلفون الرئيسيون: | , , , |
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| التنسيق: | دورية |
| منشور في: |
2017
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| الوصول للمادة أونلاين: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84902592555&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42928 |
| الوسوم: |
إضافة وسم
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| المؤسسة: | Chiang Mai University |
| الملخص: | 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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