Document Type
Report
Source Publication Title
Technical Report 250
Abstract
Mainly, in this paper we prove that if D is a convex compact of Rn, then the Brouwer fixed point property of D is equivalent to the fact that every Bouligand-Nagums vector field on D, has a zero in D. Using a version of this result on a normed space, as well as the Day [9] and Dugundji [10] theorems, we give a new proof to the fact that in every infinite dimensional Banach space X, there exists a continuous function from the closed unit ball B (of X) into B, without fixed points in B. We also show that our results include several classical results. Some applications to Flight Mechanics are given, too.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
1-1-1987
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Pavel, Nicolae H., "Zeros of Bouligand-Nagumo Fields, Flow-Invariance and the Bouwer Fixed Point Theorem" (1987). Mathematics Technical Papers. 246.
https://mavmatrix.uta.edu/math_technicalpapers/246