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Mann iteration with errors for strictly pseudo-contractive mappings.


JO Olaleru
AA Mogbademu

Abstract



It is well known that any fixed point of a Lipschitzian strictly pseudo-contractive self mapping of a nonempty closed convex and bounded subset K of a Banach space X is unique [6] and may be norm approximated by an iterative procedure. In this paper, we show that Mann iteration with errors can be used to approximate the fixed points of strictly pseudocontractive mappings. Our result extend the corresponding result obtained by Liu [6].

JONAMP Vol. 11 2007: pp. 57-62

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eISSN: 1116-4336