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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Journal |
| Published: |
2017
|
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84902592555&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42928 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| id |
th-cmuir.6653943832-42928 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-429282017-09-28T06:42:45Z Interior fixed points of unit-sphere-preserving Euclidean maps Khamsemanan N. Brown R. Lee C. Dhompongsa S. 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. 2017-09-28T06:42:45Z 2017-09-28T06:42:45Z 2012-01-01 Journal 16871820 2-s2.0-84902592555 10.1186/1687-1812-2012-183 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84902592555&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42928 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| description |
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. |
| format |
Journal |
| author |
Khamsemanan N. Brown R. Lee C. Dhompongsa S. |
| spellingShingle |
Khamsemanan N. Brown R. Lee C. Dhompongsa S. Interior fixed points of unit-sphere-preserving Euclidean maps |
| author_facet |
Khamsemanan N. Brown R. Lee C. Dhompongsa S. |
| author_sort |
Khamsemanan N. |
| title |
Interior fixed points of unit-sphere-preserving Euclidean maps |
| title_short |
Interior fixed points of unit-sphere-preserving Euclidean maps |
| title_full |
Interior fixed points of unit-sphere-preserving Euclidean maps |
| title_fullStr |
Interior fixed points of unit-sphere-preserving Euclidean maps |
| title_full_unstemmed |
Interior fixed points of unit-sphere-preserving Euclidean maps |
| title_sort |
interior fixed points of unit-sphere-preserving euclidean maps |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84902592555&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42928 |
| _version_ |
1681422282365337600 |