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Zbl 1225.47105
Qin, Xiaolong; Cho, Sun Young; Kang, Shin Min
(Qin, Xiao-long; ;)
On hybrid projection methods for asymptotically quasi-nonexpansive mappings. (English)
[J] Appl. Math. Comput. 215, No. 11, 3874-3883 (2010). ISSN 0096-3003

Summary: The purpose of this paper is to consider the problem of approximating a common fixed point of two asymptotically quasi-$\phi$-nonexpansive mappings based on hybrid projection methods. Strong convergence theorems are established in a real Banach space.
MSC 2000:
*47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties

Keywords: asymptotically quasi-$\phi$-nonexpansive mapping; asymptotically nonexpansive mapping; relatively nonexpansive mapping; generalized projection; hybrid projection methods; strong convergence; real Banach space

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