A composite iterative algorithm for common fixed points for a finite family of nonexpansive mappings and applications
β Scribed by Liang-Gen Hu; Li-Wei Liu
- Book ID
- 108075683
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 499 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E, which is also a nonexpansive retract of E with nonexpansive retraction P. for some Ξ΄ β (0, 1). Some strong and weak convergence theorems of {x n } to some q β F are obtained under some suitable conditions i
Some sufficient and necessary conditions for the iterative sequence converging to a common fixed points for a family of nonexpansive mappings in Banach spaces are obtained. The results presented in this paper not only give an affirmative answer to Halpern's open question and a partial answer to the
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 {