Weak and strong convergence of common fixed points for asymptotically quasi-nonexpansive type mappings in Banach spaces
Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 451 .

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In this paper, we give necessary and sufficient condition for strong convergence of three-step iteration process with errors for approximating common fixed point for asymptotically quasi-nonexpansive type mappings and also prove weak convergence of three-step iteration process with errors for approximating common fixed point for said mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results [1, 5, 6, 10, 11, 14] and many others.
Classification : 47H09 47H10 47J25
Keywords: Asymptotically quasi-nonexpansive type mapping, three-step iteration process with errors, common fixed point, strong convergence, weak convergence, Banach space
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     author = {Gurucharan Singh Saluja},
     title = {Weak and strong convergence of common fixed points for asymptotically quasi-nonexpansive type mappings in {Banach} spaces},
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Gurucharan Singh Saluja. Weak and strong convergence of common fixed points for asymptotically quasi-nonexpansive type mappings in Banach spaces. Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 451 . http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a8/