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Necessary and sufficient conditions for convergence of Ishikawa iterative schemes with errors to $\phi$-hemicontractive mappings

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Abstract

The purpose of this paper is to establish the necessaryand sufficient conditions which ensurethe strong convergence of the Ishikawa iterative schemes with errorsto the unique fixed point of a phi-hemicontractive mapping definedon a nonempty convex subset of a normed linear space.The results of this paper extend substantially most of the recent results.

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