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
Modified multistep iterative process for some common fixed point of a finite family of nonself asymptotically nonexpansive mappings
β Scribed by Liping Yang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 276 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0895-7177
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π SIMILAR VOLUMES
In this paper, we introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for the new two-step iterative scheme in a uniformly convex Banach space.
Let E be a real uniformly convex Banach space, K be a closed convex non-empty subset of E which is also a non-expansive retract with retraction P. Let T 1 , T 2 , . . . , T r : K β E be asymptotically non-expansive mappings of K into E with sequences (respectively), k jn be a sequence in [Ξ΅, 1 -Ξ΅]