@MISC{ORDEQ_01.MIZ,
  AUTHOR = {Miyajima, Keiichi and Korni{\l}owicz, Artur and Shidama, Yasunari},
  TITLE = {Contracting Mapping on Normed Linear Space},
  ACKNOWLEDGEMENT = {We would like to express our gratitude
    to Prof. Yatsuka Nakamura. This work was supported
    by JSPS KAKENHI 22300285.},
  SECTION1 = {The Principle of Contracting Mapping on Normed Linear Space},
  SECTION2 = {The Real Banach Space C([a,b],X)},
  SECTION3 = {Differential Equations},
  DAY = {19},
  MONTH = {August},
  YEAR = {2012},
  ADDRESS1 = {Ibaraki University, Faculty of Engineering, Hitachi,\\Ibaraki, Japan},
  ADDRESS2 = {University of Bia{\l}ystok, Institute of Informatics,\\Bia{\l}ystok, Poland},
  ADDRESS3 = {Shinshu University\\Nagano, Japan},
  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 \cite{LSchwarz:1967}.}}

@BOOK{LSchwarz:1967,
 AUTHOR={Laurent Schwarz},
 TITLE={Cours d'analyse II, Ch. 5},
 PUBLISHER={HERMANN, Paris},
 YEAR=1967}

