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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.14 No.4

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An Extension of the Contraction Mapping Theorem

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.4, pp.283-287
Argyros, Ioannis K.
Argyros,, I. K. (2007). An Extension of the Contraction Mapping Theorem. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 14(4), 283-287.

Abstract

An extension of the contraction mapping theorem is provided in a Banach space setting to approximate fixed points of operator equations. Our approach is justified by numerical examples where our results apply whereas the classical contraction mapping principle cannot.

keywords
Banach space, successive approximations, contraction mapping theorem/principle, boundary value problems, discretization studies, fixed point

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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