Iterative approximation of fixed point for Φ -hemicontractive mapping without Lipschitz assumption

Xue Zhiqun

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

Abstract:

Let E be an arbitrary real Banach space and let K be a nonempty closed convex subset of E such that K + K ⊂ K . Assume that T : K → K is a uniformly continuous and Φ -hemicontractive mapping. It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique fixed point of T .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:526492

DOI: 10.1155/IJMMS.2005.2711

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