Convergence rate estimate of Ishikawa iterative sequence for strictly pseudocontractive mappings. (English) Zbl 1035.47054
This article deals with Ishikawa approximations for Lipschitzian and pseudocontractive mappings leaving invariant a nonempty closed convex subset \(K\) of a Banach space \(X\). The author formulates some conditions under which the Ishikawa approximations for a Lipschitzian and pseudocontractive mapping \(T\) converge to a fixed point of \(T\) and gives simple rate estimates of this convergence.
Reviewer: Peter Zabreiko (Minsk)
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H10 | Fixed-point theorems |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
Keywords:
Lipschitzian mappings; convergence rate estimates; Ishikawa approximations; pseudocontractive mappingReferences:
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