Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2024; 39(2): 399-406

Online first article April 11, 2024      Printed April 30, 2024

https://doi.org/10.4134/CKMS.c220346

Copyright © The Korean Mathematical Society.

On the convergence of Ishikawa iteration with errors for real continuous functions

Kittithat Boonpot, Satit Saejung

Khon Kaen University; Khon Kaen University

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.

Keywords: Fixed point, real continuous function, Mann iteration with error, Ishikawa iteration with error

MSC numbers: 47H10

Supported by: S. Saejung was supported by National Research Council of Thailand and Khon Kaen University under grant N42A650290; and the Research and Graduate Studies at Khon Kaen University.