Convergence criteria of modified Noor iterations with errors for three asymptotically nonexpansive nonself-mappings


Authors

Tanakit Thianwan - Department of Mathematics, Faculty of Science, University of Phayao, Phayao, 56000, Thailand.


Abstract

The aim of this paper, is to introduce and study the modified Noor iterative algorithm with errors for approximating common fixed points of three asymptotically nonexpansive nonself-mappings. Several strong and weak convergence results on this algorithm are established under certain conditions in a uniformly convex Banach space. The results obtained in this paper improve and generalize the recent ones announced by Khan and Hussain [S. H. Khan, N. Hussain, Comput. Math. Appl. 55 (2008), 2544-2553.], Nammanee, et. al., [K. Nammanee, M.A. Noor and S. Suantai, J. Math. Anal. Appl. 314 (2006), 320-334.], Suantai [S. Suantai, J. Math. Anal. Appl. 311 (2005), 506-517.], Cho et. al., [Y. J. Cho, H. Y. Zhou and G. Guo, Comput. Math. Appl. 47 (2004), 707-717.], Xu and Noor [B. L. Xu and M.A. Noor, J. Math. Anal. Appl. 267 (2002), 444-453.] and many others.


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ISRP Style

Tanakit Thianwan, Convergence criteria of modified Noor iterations with errors for three asymptotically nonexpansive nonself-mappings, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 3, 181--197

AMA Style

Thianwan Tanakit, Convergence criteria of modified Noor iterations with errors for three asymptotically nonexpansive nonself-mappings. J. Nonlinear Sci. Appl. (2013); 6(3):181--197

Chicago/Turabian Style

Thianwan, Tanakit. "Convergence criteria of modified Noor iterations with errors for three asymptotically nonexpansive nonself-mappings." Journal of Nonlinear Sciences and Applications, 6, no. 3 (2013): 181--197


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