- P-ISSN3059-0604
- E-ISSN3059-1309
- KCI
ISSN : 3059-0604
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AN EXTENSION OF THE CONTRACTION MAPPING THEOREM
An Extension of the Contraction Mapping Theorem
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2007, v.14 no.4, pp.283-287
Argyros, Ioannis K.
(DEPARTMENT OF MATHEMATICAL SCIENCES, CAMERON UNIVERSITY)
Argyros, Ioannis K..
(2007). AN EXTENSION OF THE CONTRACTION MAPPING THEOREM. , 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