Interior fixed points of unit-sphere-preserving Euclidean maps

• Main Authors: Khamsemanan N., Brown R., Lee C., Dhompongsa S.
• 格式: 雜誌
• 出版: 2017
• 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
• 機構: Chiang Mai University

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...