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This analysis demonstrates convergence conditions for Ishikawa iterates in Banach spaces, suggesting implications for fixed point theories.
This paper deals with a necessary and sufficient condition for the convergence of Ishikawa iterates of quasi-nonexpansive mapping in a Banach space. The convergence of Ishikawa iterates for nonexpansive mappings in a uniformly convex Banach space is also discussed.
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A 1997 study studied this question.
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