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Iterative methods for common fixed points for a countable family of nonexpansive mappings in uniformly convex spaces

✍ Scribed by C.E. Chidume; C.O. Chidume

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
679 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

Let E be a uniformly convex real Banach space with a uniformly GÒteaux differentiable norm. Let K be a closed, convex and nonempty subset of E. Let {T i } ∞ i=1 be a family of nonexpansive self-mappings of K . For arbitrary fixed δ ∈ (0, 1), define a family of nonexpansive maps

, where {Ξ± n } and {Οƒ i,tn } are sequences in (0, 1) satisfying appropriate conditions, in each of the following cases: (a) E = l p , 1 < p < ∞; and (b) at least one of the T i 's is demicompact.

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