Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2011; 26(2): 229-235
Printed June 1, 2011
https://doi.org/10.4134/CKMS.2011.26.2.229
Copyright © The Korean Mathematical Society.
Convergence of Ishikawa iteration with error terms on an arbitrary interval
Qing Yuan, Sun Young Cho, and Xiaolong Qin
Hangzhou Normal University, Gyeongsang National University, Hangzhou Normal University
In this paper, a continuous real function on the real line is considered. The necessary and sufficient conditions for the convergence of the Ishikawa iteration with error terms for the functional are obtained.
Keywords: fixed point, real function, Mann iteration, Ishikawa iteration
MSC numbers: 47H10
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