Iterative approximation of fixed point for Φ-hemicontractive mapping without Lipschitz assumption
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.
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| Hlavní autor: | |
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| Médium: | Artigo |
| Jazyk: | Inglês |
| Vydáno: |
Wiley
2005-01-01
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| Edice: | International Journal of Mathematics and Mathematical Sciences |
| On-line přístup: | http://dx.doi.org/10.1155/IJMMS.2005.2711 |
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