Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/67890
Title: Remarks on brouwer fixed point theorem for some surfaces in R<sup>3</sup>
Authors: Preeyaporn Thongin
Worapong Fupinwong
Authors: Preeyaporn Thongin
Worapong Fupinwong
Keywords: Mathematics
Issue Date: 1-Dec-2019
Abstract: © 2019 by the Mathematical Association of Thailand. Let X be a surface in R3. A subset E of X is said to be convex if, for each p, q ∈ E, it contains each shortest geodesic joining p and q. A surface in R3 is said to have the fixed point property if each continuous mapping T: E → E from a compact convex subset E of X has a fixed point. In this paper, we give some examples of surfaces in R3 that do not have the fixed point property. Moreover, we show that the surface z = y2 and the upper hemisphere of the sphere of radius r centered at (0, 0, 0) with north pole and equator removed have the fixed point property.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85077550522&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67890
ISSN: 16860209
Appears in Collections:CMUL: Journal Articles

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