A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY
In this paper, we extend the result due to Liu Qihou and prove some sufficient and necessary conditions for modified Ishikawa iterative sequences of asymptotically quasi-nonexpansive mappings with error member to converge to
fixed points.
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- W.V.Petryshyn and T.E.Williamson, Strong and weak convergence of the sequence of suc- cessive approximations for quasi-nonexpansive mappings, J. Math. Anal. Appl. 43 (1973), 459–497.
- M,K,Ghosh and L.Debnath, Convergence of Ishikawa iterations of quasi-nonexpansive map- pings, J. Math. Anal. Appl. 207 (1997), 96–103.
- Liu Qihou, Iterative sequences for asymptotically quasi-nonexpansive mappings with error member, J. Math. Anal. Appl. 259 (2001), 18–24.