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Zbl 1151.47060
Liu, Zeqing; Feng, Chi; Ume, Jeong Sheok; Kang, Shin Min
(Liu, Ze-qing)
Weak and strong convergence for common fixed points of a pair of nonexpansive and asymptotically nonexpansive mappings. (English)
[J] Taiwanese J. Math. 11, No. 1, 27-42 (2007). ISSN 1027-5487

Some weak and strong convergence theorems for a modified Ishikawa iteration with errors to a common fixed point of a pair of nonexpansive and, respectively, asymptotically nonexpansive mappings in uniformly convex Banach spaces are given. These theorems generalize, improve and unify several related results in literature.
[Vasile Berinde (Baia Mare)]

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H05 Monotone operators (with respect to duality)

Keywords: uniformly convex Banach space; nonexpansive mapping; asymptotically nonexpansive mapping; common fixed point; modified Ishikawa iteration with errors; convergence theorem; weak convergence

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