A constructive fixed point approach to the existence of a triangle with prescribed angle bisector lengths
George Dinca and Jean Mawhin
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 17, Number 2
(2010), 333-341.
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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bbms/1274896209
Mathematical Reviews number (MathSciNet): MR2663476
Zentralblatt MATH identifier: 1202.51013
Bulletin of the Belgian Mathematical Society - Simon Stevin
