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Approximating fixed points by Ishikawa iterates. (English) Zbl 0667.47030

Following H. F. Senter and W. G. Dotson jun. [Proc. Am. Math. Soc. 44, 375-380 (1974; Zbl 0299.47032)] and R. K. Bose and R. N. Mukherjee [Proc. Am. Math. Soc. 82, 603-606 (1981; Zbl 0475.47043)], the authors discuss the convergence of the Ishikawa sequence of iterates to a fixed point of quasi-nonexpansive and generalized nonexpansive mappings on a closed convex subset of a uniformly convex Banach space. Certain results of Bose and Mukherjee [op. cit.] follow as particular cases of the results of this paper.
Reviewer: S.L.Singh

MSC:

47H10 Fixed-point theorems
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[1] DOI: 10.2307/2040440 · Zbl 0299.47032 · doi:10.2307/2040440
[2] DOI: 10.2307/2032162 · Zbl 0050.11603 · doi:10.2307/2032162
[3] DOI: 10.2307/2043779 · Zbl 0475.47043 · doi:10.2307/2043779
[4] Goebel, Boll. Un. Mat. Ital. 7 pp 67– (1973)
[5] DOI: 10.2307/1995659 · Zbl 0203.14801 · doi:10.2307/1995659
[6] DOI: 10.2307/2039245 · Zbl 0286.47036 · doi:10.2307/2039245
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