A Theorem on Mean-Value Iterations
- 1 October 1971
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 30 (2) , 324-326
- https://doi.org/10.2307/2038276
Abstract
In this paper we consider a function which continuously maps a closed interval of the real line into itself. It is shown that a particular mean-value iterative scheme always converges to a fixed point. The result is known for functions which have a unique fixed point. This condition is not required here.Keywords
This publication has 1 reference indexed in Scilit:
- Mean Value Methods in IterationProceedings of the American Mathematical Society, 1953