Title: Strong Convergence Theorems for a Finite Family of Quasi-nonexpansive and Asymptotically Quasi-nonexpansive Mappings in Banach spaces
Abstract: In this paper, we give the sufficient condition for strong convergence of finite step iteration sequences with errors to a common fixed point for a pair of a finite family of quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in closed convex subset of a Banach spaces. The results presented in this paper generalize, improve unify the corresponding results in [1, 2, 4, 5, 9, 10].
Keywords: Quasi-nonexpansive mapping; asymptotically quasi nonexpansive map-ping; common fixed point; multi-step iteration scheme.
2010 Mathematics Subject Classification 47H09; 47H10.
Publication Year: 2011
Publication Date: 2011-11-01
Language: en
Type: article
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