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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A theorem on mean-value iterations


Authors: R. L. Franks and R. P. Marzec
Journal: Proc. Amer. Math. Soc. 30 (1971), 324-326
MSC: Primary 26.54; Secondary 65.00
DOI: https://doi.org/10.1090/S0002-9939-1971-0280656-9
MathSciNet review: 0280656
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0280656-9
Article copyright: © Copyright 1971 American Mathematical Society