Remarks on pseudo-contractive mappings
β Scribed by Claudio Morales
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 307 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Let K be a nonempty closed convex subset of a Banach space E, T : K β K a continuous pseudo-contractive mapping. Suppose that {Ξ± n } is a real sequence in [0, 1] satisfying appropriate conditions; then for arbitrary x 0 β K , the Mann type implicit iteration process {x n } given by x n = Ξ± n x n-1 +
In this note, we speed up the convergence of the Picard sequence of iterations for strongly accretive and strongly pseudo-contractive mappings. Our results improve the results of Chidume [C.E. Chidume, Picard iteration for strongly accretive and strongly pseudo-contractive Lipschitz maps, ICTP Prepr