Strong convergence of modified Mann iterations
โ Scribed by Tae-Hwa Kim; Hong-Kun Xu
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 183 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper, we introduce a modified Mann iterative process for approximating a common fixed point of a finite family of strict pseudo-contractions in Hilbert spaces. We establish the strong convergence theorem of the general iteration scheme under some mild conditions. Our results extend and impr
some equivalence conditions between the convergence of modified Picard, modified Mann, and modified Ishikawa iterations for some kinds of nonlinear mappings in Banach spaces are obtained.
In this paper, we show that a generic nonexpansive operator on a closed and convex, but not necessarily bounded, subset of a hyperbolic space has a unique fixed point which attracts the Krasnoselskii-Mann iterations of this operator.