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 {
Approximation methods for common fixed points for a countable family of nonexpansive mappings
β Scribed by C.E. Chidume; C.O. Chidume; A.P. Nwogbaga
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 391 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper, we prove a strong convergence theorem by the hybrid method for a countable family of relatively nonexpansive mappings in a Banach space. We also establish a new control condition for the sequence of mappings {T n } which is weaker than the control condition in Lemma 3.1 of Aoyama et a
Let K be a nonempty closed convex subset of a real reflexive Banach space E that has weakly continuous duality mapping J Ο for some gauge Ο. Let T i : K β K , i = 1, 2, . . . , be a family of quasi-nonexpansive mappings with F := β© iβ₯1 F(T i ) = β which is a sunny nonexpansive retract of K with Q a
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