A constructive fixed point approach to the existence of a triangle with prescribed angle bisector lengths
(2010) Belgian Mathematical Society - Simon Stevin. Bulletin — Vol. 17, n° 2, p. 333-341 (2010)
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- 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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Dinca, G., & Mawhin, J. (2010). A constructive fixed point approach to the existence of a triangle with prescribed angle bisector lengths. Belgian Mathematical Society - Simon Stevin. Bulletin, 17(2), 333-341. https://hdl.handle.net/2078.5/41568 (Original work published 2010)