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A new iterative process for common fixed points of finite families of non-self-asymptotically non-expansive mappings

✍ Scribed by İsa Yıldırım; Murat Özdemir

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

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✦ Synopsis

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 → E be asymptotically non-expansive mappings of K into E with sequences (respectively), k jn

be a sequence in [ε, 1 -ε] for some ε ∈ (0, 1), for each j ∈ {1, 2, . . . , r}. Let {x n } be a sequence generalized for r ≥ 2 by

Let ∩ r j=1 F T j = ∅. Strong and weak convergence of the sequence {x n } to a common fixed point of family {T j } r j=1 are proved.

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