논문KCI 등재
Almost stability of the Mann iteration method with errors for strictly hemi-contractive operators in smooth Banach spaces
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Abstract
Let K be a nonemptyclosed bounded convex subset of an arbitrary smooth Banach space X and T:Kto K be a strictly hemi-contractiveoperator. Under some conditions we obtain that the Mann iteration method with errors both converges strongly to aunique fixed point of T and is almost T-stable on K. The results presented in this paper generalize thecorresponding results in [1]-[7], [20] and others.
관련 논문AI추천
Convergence and Almost Stability of Ishikawa Iteration Method with Errors for Strictly Hemi-Contractive Operators in Banach Spaces강신민, 엄정석, Zeqing Liu한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호Almost stability of Ishikawa iterative schemes with errors for $\phi$-strongly quasi-accretive and $\phi$-hemicontractive operatorsJong Kyu Kim, Shin Min Kang, Zeqing Liu대한수학회 · 대한수학회논문집2004 · 제19권 제2호Iterative algorithms with errors for nonexpansive mappings in Banach spaces정종수대한수학회 · 대한수학회보2006 · 제43권 제4호Iterative approximation of fixed points for $\phi$-hemicontractive operators in Banach spacesShin Min Kang, Yanjuan Li, Zeqing Liu, Zhefu An대한수학회 · 대한수학회논문집2004 · 제19권 제1호Convergence theorems and stability problems of the modified Ishikawa iterative sequences for strictly successively hemicontractive mappings김기홍, 김종규, Zeqing Liu대한수학회 · 대한수학회보2002 · 제39권 제3호Necessary and sufficient conditions for convergence of Ishikawa iterative schemes with errors to $\phi$-hemicontractive mappingsJong Kyu Kim, Shin Min Kang, Zeqing Liu대한수학회 · 대한수학회논문집2003 · 제18권 제2호
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