In this article, we described the contracting mapping on normed linear space. Furthermore, we applied that mapping to ordinary differential equations on real normed space. Our method is based on the one presented by Schwarz [29].
@article{bwmeta1.element.doi-10_2478_v10037-012-0035-8,
author = {Keiichi Miyajima and Artur Korni\l owicz and Yasunari Shidama},
title = {Contracting Mapping on Normed Linear Space},
journal = {Formalized Mathematics},
volume = {20},
year = {2012},
pages = {291-301},
zbl = {06213850},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0035-8}
}
Keiichi Miyajima; Artur Korniłowicz; Yasunari Shidama. Contracting Mapping on Normed Linear Space. Formalized Mathematics, Tome 20 (2012) pp. 291-301. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0035-8/
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