Geodesic
Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 83-96.

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The purpose of this paper is to establish some weak and strong convergence theorems of modified three-step iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper generalize, improve and unify a few results due to Chang [1], Liu and Kang [5], Osilike and Aniagbosor [7], Rhoades [8] and Schu [9], [10] and others. An example is included to demonstrate that our results are sharp.
Classification : 47H05, 47H09, 47H10, 47H15, 47J25
Keywords: nonexpansive mappings; asymptotically nonexpansive mappings; common fixed points; modified three-step iteration methods with errors with respect to a pair of mappings 
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     title = {Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings},
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Liu, Zeqing; Agarwal, Ravi P.; Feng, Chi; Kang, Shin Min. Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 83-96. http://geodesic.mathdoc.fr/item/AUPO_2005__44_1_a8/