Approximation methods for common fixed points of infinite countable family of nonexpansive mappings
β Scribed by Yonghong Yao; Jen-Chih Yao; Haiyun Zhou
- Book ID
- 108077084
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 225 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let C be a closed convex subset of a real uniformly smooth and strictly convex Banach space E. Consider the following iterative algorithm given by where f is a contraction on C and W n is a mapping generated by an infinite family of nonexpansive mappings {T i } β i=1 . Assume that the set of common
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 {
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