Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
β Scribed by Withun Phuengrattana; Suthep Suantai
- Book ID
- 119323441
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 198 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 {
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