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Convergence of Ishikawa iterates of quasi-nonexpansive mappings. (English) Zbl 0881.47036
The authors consider quasi-nonexpansive mappings in Banach spaces. A necessary and sufficient condition of Ishikawa iterates of such mappings is presented.

MSC:
47H10 Fixed-point theorems
47J25 Iterative procedures involving nonlinear operators
54H25 Fixed-point and coincidence theorems (topological aspects)
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