APPROXIMATING COMMON FIXED POINTS OF TWO ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

By K. Hussain, Wataru Takahashi. 2001

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Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications (2007, background): “Note that condition of compactness in Theorem 2 of Khan and Takahashi [5] has also been relaxed to condition (A′).”
Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces (2006, result): “Our results are significant generalizations of the corresponding results of Ghosh and Debnath [2], Petryshyn and Williamson [8], Qihou [9–11], and of Khan and Takahashi [6].”
Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces (2008, methodology): “Our work is a significant generalization of the corresponding results of Khan and Takahashi [10], Qihou [20], Schu [23], Shahzad and Udomene [24], Tan and Xu [28] and Xu and Noor [29].”
Strong convergence of a general iteration scheme in C A T ( 0 ) spaces (2011, methodology): “To achieve this, Takahashi [8] introduced a convex structure in a metric space (X, d).”