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The asymptotic behavior of relatively nonexpansive mappings were studied in [7, 9].
For example, applications of coupled fixed points for binary mappings were studied by Bhaskar and Lakshmikantham [24].
Recently, in [24] the weak and strong convergence of implicit iteration process to a common fixed point of a finite family of -asymptotically nonexpansive mappings were studied.
Fixed-point theorems for locally contractive mappings were studied, among others, by Edelstein [13], Beg and Azam [14], Holmes [15], Hu [11], Hu and Rosen [16], Ko and Tasi [17], Kuhfitting [18] and Nadler [19].
The iterative approximation problems for asymptotically nonexpansive and asymptotically quasi-nonexpansive mappings were studied by many authors in a Banach space and a (operatorname{CAT}(0)) space (see, e.g., [6, 10 18]).
Remark 2.8 In the framework of a smooth, strictly convex and reflexive Banach space, the fixed point properties of the above three mappings were studied by Aoyama et al. [27], Kohsaka et al. [28] and many mathematical workers.
Similar(52)
The asymptotic behavior of non-spreading mappings and generalized nonexpansive type mappings was studied in [18].
The asymptotic behavior of relatively nonexpansive mappings was studied in [21, 22] and [12].
The asymptotic behavior of relatively nonexpansive mappings was studied in [29 31].
The existence and approximation of Bregman firmly nonexpansive mappings was studied in [16].
The asymptotic behavior of a relatively nonexpansive mappings was studied in [3, 6, 7].
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