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Iterative approximation of fixed point for \(\Phi\)-hemicontractive mapping without Lipschitz assumption. (English) Zbl 1107.47057

The author studies the strong convergence to a unique fixed point of a uniformly  \(\phi \)-hemicontractive mapping on an arbitrary real Banach space of a sequence generated by the Ishikawa scheme with errors. His result excludes the assumption of a Lipschitz condition on the mapping.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
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