Open Access
april 2010 A constructive fixed point approach to the existence of a triangle with prescribed angle bisector lengths
George Dinca, Jean Mawhin
Bull. Belg. Math. Soc. Simon Stevin 17(2): 333-341 (april 2010). DOI: 10.36045/bbms/1274896209

Abstract

We show that the use of Brouwer fixed point theorem in Mironescu-Panaitopol's approach to the existence of a triangle with prescribed interior bisector lengths can be replaced by that of Banach fixed point theorem followed by an elementary limiting argument.

Citation

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George Dinca. Jean Mawhin. "A constructive fixed point approach to the existence of a triangle with prescribed angle bisector lengths." Bull. Belg. Math. Soc. Simon Stevin 17 (2) 333 - 341, april 2010. https://doi.org/10.36045/bbms/1274896209

Information

Published: april 2010
First available in Project Euclid: 26 May 2010

zbMATH: 1202.51013
MathSciNet: MR2663476
Digital Object Identifier: 10.36045/bbms/1274896209

Subjects:
Primary: 01A55 , 01A60 , 47H10 , 51M04

Keywords: Banach fixed point theorem , Brouwer fixed point theorem , three bisectors problem

Rights: Copyright © 2010 The Belgian Mathematical Society

Vol.17 • No. 2 • april 2010
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