Iterative approaches to finding nearest common fixed points of nonexpansive mappings in Hilbert spaces
β Scribed by John G. O'Hara; Paranjothi Pillay; Hong-Kun Xu
- Book ID
- 104330605
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 116 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Let E be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E \* , and K be a nonempty closed convex subset of E. Suppose that {T n } (n = 1, 2, . . .) is a uniformly asymptotically regular sequence of nonexpansive mappings from K into itself such t
Let E be a uniformly convex real Banach space with a uniformly GΓ’teaux differentiable norm. Let K be a closed, convex and nonempty subset of E. Let {T i } β i=1 be a family of nonexpansive self-mappings of K . For arbitrary fixed Ξ΄ β (0, 1), define a family of nonexpansive maps , where {Ξ± n } and {
We introduce a new iteration scheme for averaged mappings in Hilbert spaces and prove that the iterates converge strongly to common fixed points of the mappings. The main theorem extends a recent result of Shimizu and Takahashi [T. Shimizu, W. Takahashi, Strong convergence to common fixed points of