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: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
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. 한국수학교육학회지시리즈B:순수및응용수학, 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