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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

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Volume 20, Issue 4 (Dec 2012)

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Contracting Mapping on Normed Linear Space

Keiichi Miyajima
  • Ibaraki University Faculty of Engineering, Hitachi, Japan
/ Artur Korniłowicz
  • Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok Poland
/ Yasunari Shidama
  • Shinshu University, Nagano, Japan
Published Online: 2013-02-02 | DOI: https://doi.org/10.2478/v10037-012-0035-8

Summary

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].

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About the article

We would like to express our gratitude to Prof. Yatsuka Nakamura. My work has been supported by the Polish Ministry of Science and Higher Education project “Managing a Large Repository of Computer-verified Mathematical Knowledge” (N N519 385136). My work has been supported by JSPS KAKENHI 22300285


Published Online: 2013-02-02

Published in Print: 2012-12-01



Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-012-0035-8. Export Citation

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