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Zeros of Bouligand-Nagumo Fields, Flow-Invariance and the Bouwer Fixed Point Theorem

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Zeros of Bouligand-Nagumo Fields, Flow-Invariance and the Bouwer Fixed Point Theorem

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dc.contributor.author Pavel, Nicolae H. en
dc.date.accessioned 2010-06-14T16:49:02Z en
dc.date.available 2010-06-14T16:49:02Z en
dc.date.issued 1987 en
dc.identifier.uri http://hdl.handle.net/10106/2506 en
dc.description.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. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;250 en
dc.subject Banach spaces en
dc.subject Fixed point theorem en
dc.subject Flow-invariance en
dc.subject.lcsh Mathematics Research en
dc.title Zeros of Bouligand-Nagumo Fields, Flow-Invariance and the Bouwer Fixed Point Theorem en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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