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Guo, Weiping; Cho, Yeol Je; Guo, Wei

Convergence theorems for mixed type asymptotically nonexpansive mappings. (English) Zbl 1428.47024

Fixed Point Theory Appl. 2012, Paper No. 224, 15 p. (2012).
Summary: In this paper, we introduce a new two-step iterative scheme of mixed type for two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings and prove strong and weak convergence theorems for the new two-step iterative scheme in uniformly convex Banach spaces.

Cited in 1 Review
Cited in 16 Documents

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Keywords:

mixed type asymptotically nonexpansive mapping; strong convergence; weak convergence; common fixed point; uniformly convex Banach space
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References:

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