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On common fixed points of asymptotically nonexpansive mappings in the intermediate sense
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 1055-1063
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Some strong convergence theorems of common fixed points of asymptotically nonexpansive mappings in the intermediate sense are obtained. The results presented in this paper improve and extend the corresponding results in Huang, Khan and Takahashi, Chang, Schu, and Rhoades.
Some strong convergence theorems of common fixed points of asymptotically nonexpansive mappings in the intermediate sense are obtained. The results presented in this paper improve and extend the corresponding results in Huang, Khan and Takahashi, Chang, Schu, and Rhoades.
Classification : 47H09, 47H10, 47J25
Keywords: common fixed point; iteration; asymptotically nonexpansive mapping in the intermediate sense; uniformly convex Banach space 
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Huang, Jui-Chi. On common fixed points of asymptotically nonexpansive mappings in the intermediate sense. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 1055-1063. http://geodesic.mathdoc.fr/item/CMJ_2004_54_4_a17/

[1] R. E.  Bruck, T.  Kuczumow and S.  Reich: Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property. Colloq. Math. 65 (1993), 169–179. | DOI | MR

[2] S. S.  Chang: On the approximation problem of fixed point for asymptotically nonexpansive mappings. Indian J.  Pure Appl. Math. 32 (2001), 1297–1307. | MR

[3] K.  Goebel and W. A.  Kirk: A fixed point theorem for asymptotically nonexpansive mappings. Proc. Amer. Math. Soc. 35 (1972), 171–174. | DOI | MR

[4] J.-C.  Huang: Convergence theorems of the sequence of iterates for a finite family of asymptotically nonexpansive mappings. Internat. J.  Math. Sci. 27 (2001), 653–662. | DOI | MR | Zbl

[5] W. A.  Kirk: Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type. Israel J.  Math. 17 (1974), 339–346. | DOI | MR | Zbl

[6] S. H.  Khan and W.  Takahashi: Approximating common fixed points of two asymptotically nonexpansive mappings. Math. Japon. 53 (2001), 143–148. | MR

[7] M. O.  Osilike and S. C.  Aniagbosor: Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings. Math. Comput. Modelling 32 (2000), 1181–1191. | DOI | MR

[8] L.  Qihou: Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings. Nonlinear Anal. 26 (1996), 1835–1842. | DOI | MR | Zbl

[9] B. E.  Rhoades: Fixed point iteration for certain nonlinear mappings. J.  Math. Anal. Appl. 183 (1994), 118–120. | DOI | MR

[10] J.  Schu: Weak and strong convergence to fixed points of asymptotically nonexpansive mappings. Bull. Austral. Math. Soc. 43 (1991), 153–159. | DOI | MR | Zbl

[11] K. K.  Tan and H. K.  Xu: Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. J.  Math. Anal. Appl. 178 (1993), 301–308. | DOI | MR

[12] Y.  Xu: Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive operator equations. J.  Math. Anal. Appl. 224 (1998), 91–101. | DOI | MR