A constructive fixed point approach to the existence of a triangle with prescribed angle bisector lengths

作者：Dinca George^*; Mawhin Jean

来源：Bulletin of the Belgian Mathematical Society Simon Stevin, 2010, 17(2): 333-341.

• three bisectors problem
• Brouwer fixed point theorem
• Banach fixed point theorem

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.

• 出版日期2010-6