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Data dependence for Ishikawa iteration when dealing with contractive-like operators. (English) Zbl 1205.47059
In this paper, the authors prove a convergence result as well as a data dependence result for Ishikawa iterations when applied to contractive-like operators.
Reviewer’s remark: The inequality \(1-x\leq\exp(x)\) on p. 3 is not correctly stated; it should be \(1-x\leq\exp(-x)\). This inequality relation is a very powerful tool for establishing convergence results.

MSC:
47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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References:
[1] doi:10.2307/2039245 · Zbl 0286.47036
[2] doi:10.2307/2032162 · Zbl 0050.11603
[5] doi:10.1007/BF01304884 · Zbl 0239.54030
[6] doi:10.2307/1997020 · Zbl 0285.47038
[7] doi:10.2307/1997954 · Zbl 0365.54023
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