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Zbl 1186.47078
Su, Yongfu; Qin, Xiaolong
(Su, Yong-fu; Qin, Xiao-long)
Strong convergence of modified Ishikawa iterations for nonlinear mappings. (English)
[J] Proc. Indian Acad. Sci., Math. Sci. 117, No. 1, 97-107 (2007). ISSN 0253-4142; ISSN 0973-7685/e

Summary: In this paper, we prove a strong convergence theorem of modified Ishikawa iterations for relatively asymptotically nonexpansive mappings in Banach space. Our results extend and improve recent results by Nakajo, Takahashi, Kim, Xu, Matsushita and some others.
MSC 2000:
*47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties

Keywords: strong convergence; modified Ishikawa iteration; relatively asymptotically nonexpansive maps; Banach spaces

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