논문KCI 등재
On the convergence of Ishikawa iteration with errors for real continuous functions
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초록
We point out an error appeared in the paper of Yuan et al.~\cite{YCQ} and present a correction of their result under a more general assumption. Moreover, we discuss the validity of the conditions imposed on the sequences of error terms.
Abstract
We point out an error appeared in the paper of Yuan et al.~\cite{YCQ} and present a correction of their result under a more general assumption. Moreover, we discuss the validity of the conditions imposed on the sequences of error terms.
참고문헌 (4)
- D. Borwein, "Fixed point iterations for real functions", J. Math. Anal. Appl, 157(1), pp.112~126 (1991)[DOI]
- P. Cholamjiak, "On Ishikawa-type iteration with errors for a continuous real function on an arbitrary interval", Appl. Math. Sci. (Ruse), 7(37-40), pp.1901~1907 (2013)[DOI]
- Q. Yuan, "Convergence of Ishikawa iteration with error terms on an arbitrary interval", Commun. Korean Math. Soc, 26(2), pp.229~235 (2011)[DOI]
- Q. Yuan, "The necessary and sufficient condition for the convergence of Ishikawa iteration on an arbitrary interval", J. Math. Anal. Appl, 323(2), pp.1383~1386 (2006)[DOI]
관련 논문AI추천
Convergence of Ishikawa iteration with error terms on an arbitrary interval조선영, Qing Yuan, Xiaolong Qin대한수학회 · 대한수학회논문집2011 · 제26권 제2호Necessary and sufficient conditions for convergence of Ishikawa iterative schemes with errors to $\phi$-hemicontractive mappingsJong Kyu Kim, Shin Min Kang, Zeqing Liu대한수학회 · 대한수학회논문집2003 · 제18권 제2호Almost 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 제2호On Error Estimates of an Implicit Iteration Scheme이병수, Arif Rafiq영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호A remark on convergence theory for iterative processes of Proinov contractionRavindra K. Bisht대한수학회 · 대한수학회논문집2019 · 제34권 제4호Convergence and Almost Stability of Ishikawa Iteration Method with Errors for Strictly Hemi-Contractive Operators in Banach Spaces강신민, 엄정석, Zeqing Liu한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호
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