september 2022 A new approach to the three bisectors problem
Dan Ştefan Marinescu, Eugen Păltănea
Bull. Belg. Math. Soc. Simon Stevin 28(5): 737-744 (september 2022). DOI: 10.36045/j.bbms.211105

Abstract

In 1994, Mironescu and Panaitopol proved the existence of a triangle with arbitrary prescribed angle bisector lengths. The proof is reduced to a particular fixed point problem. We generalize this problem and propose an alternative mathematical tool. A numerical example is provided. In this frame, we establish some local and uniform stability properties.

Citation

Download Citation

Dan Ştefan Marinescu. Eugen Păltănea. "A new approach to the three bisectors problem." Bull. Belg. Math. Soc. Simon Stevin 28 (5) 737 - 744, september 2022. https://doi.org/10.36045/j.bbms.211105

Information

Published: september 2022
First available in Project Euclid: 16 September 2022

Digital Object Identifier: 10.36045/j.bbms.211105

Subjects:
Primary: 39B82 , 47H10

Keywords: Edelstein fixed point theorem , local stability , three bisectors problem , uniform stability

Rights: Copyright © 2022 The Belgian Mathematical Society

JOURNAL ARTICLE
8 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.28 • No. 5 • september 2022
Back to Top