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A convergence theorem for some mean value fixed point iteration procedures. (English) Zbl 1074.47030

The author considers a generalized class of contractive mappings and proves a strong convergence theorem for the Ishikawa fixed point procedure whenever the mapping has a fixed point.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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