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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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

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)

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

한국수학교육학회지시리즈B:순수및응용수학