Approximating common fixed points for a finite family of asymptotically nonexpansive mappings using iteration process with errors terms

• Main Authors: Temir, Seyit, Kilicman, Adem
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2013
• Online Access: http://psasir.upm.edu.my/id/eprint/30280/1/30280.pdf; http://psasir.upm.edu.my/id/eprint/30280/; http://www.hindawi.com/journals/aaa/2013/974317/

Let X be a real Banach space and K a nonempty closed convex subset of X. Let T i: K → K (i = 1, 2,., m) be m asymptotically nonexpansive mappings with sequence { k n } ⊂ [ 1, ∞), ∑ n = 1 ∞ (k n - 1) < ∞, and F = ∩ i = 1 m F (T i) ≠ ∅, where F is the set of fixed points of T i. Suppose that { a i...