Theoretical Mathematics and Pedagogical Mathematics (한국수학교육학회지시리즈B:이론수학과 교직수학)
- Volume 14 Issue 4
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- Pages.283-287
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- 2007
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- 3059-0604(pISSN)
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- 3059-1309(eISSN)
AN EXTENSION OF THE CONTRACTION MAPPING THEOREM
- Argyros, Ioannis K. (DEPARTMENT OF MATHEMATICAL SCIENCES, CAMERON UNIVERSITY)
- Published : 2007.11.30
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