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- W2392008231 abstract "Let K be a closed convex subset of an arbitrary real Banach space X,and T ∶K→K be a Lipschitz strictly pseudocontractive mapping such that Tx=x for some x∈X. Under the lack of the assumption that ∑n=0∞αnβn∞,it is shown that the Ishikawa iterative sequence with errors engendered by xn+1=(1-αn) xn+αnTyn+un and yn=(1-βn) xn+βnTxn+vn, for all n∈N,converges strongly to the unique fixed point of T. Moreover, this result provides a general converges rate estimate for such a sequence: if un=vn=0, for all n∈N,then we have ‖xn+1-x‖≤(1-γn) ‖xn-x‖≤…≤∏j=0n(1-γj)‖x0-x‖,where {γn} is a sequence in (0,1) such that for all n∈N,γn≥1/(1+k)min(e,η-e)αn. These results improve and generalize the recent corresponding results." @default.
- W2392008231 created "2016-06-24" @default.
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- W2392008231 date "2009-01-01" @default.
- W2392008231 modified "2023-09-27" @default.
- W2392008231 title "On the Ishikawa Iteration Process with Errors for Lipschitz Strictly Pseudocontractive Mappings" @default.
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