논문KCI 등재
An Extension of the Contraction Mapping Theorem
한국수학교육학회|2007.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제4호|pp. 283-287
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Abstract
An extension of the contraction mapping theorem is provided in a Ba- nach 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.
참고문헌 (3)
- "Advances in the Efficiency of Computational Methods and Applications" (2000), World Scientific Publ. Co., River Edge, NJ
- "Accessibility of solutions byNewton？s method", 57, pp.239~247 (1995)
- "Functional Analysis in Normed Spaces" (1982), PergamonPress, Oxford
관련 논문AI추천
Some Fixed Point Theorems for Contractive and Expansive MapsGuo-Jing Jiang, Shin Min Kang대한수학회 · 대한수학회논문집2002 · 제17권 제3호On a Quasi Fixed-Point TheoremWon Kyu Kim대한수학회 · 대한수학회보2003 · 제40권 제2호Fixed-point theory for k-set contractionChi-Lin Yen, Chi-Ming Chen, Tong-Huei Chang대한수학회 · 대한수학회지2004 · 제41권 제2호Remarks on Fixed Point Theorems of Non-Lipschitzian Self-mappingsByung-Ik Jeon, Tae-Hwa Kim경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제3호The Existence of Fixed Points for Generalized Weak ContractionsZhiqun Xue경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호Fixed point theory for multimaps in extension type spaces박세희, Donal O'Regan, [Ravi P. Agarwal대한수학회 · 대한수학회지2002 · 제39권 제4호
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