Convergence criteria of modified Noor iterations with errors for three asymptotically nonexpansive nonselfmappings
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 nonselfmappings. 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), 25442553.], Nammanee,
et. al., [K. Nammanee, M.A. Noor and S. Suantai, J. Math. Anal. Appl. 314 (2006), 320334.], Suantai
[S. Suantai, J. Math. Anal. Appl. 311 (2005), 506517.], Cho et. al., [Y. J. Cho, H. Y. Zhou and G. Guo,
Comput. Math. Appl. 47 (2004), 707717.], Xu and Noor [B. L. Xu and M.A. Noor, J. Math. Anal. Appl.
267 (2002), 444453.] and many others.
Share and Cite
ISRP Style
Tanakit Thianwan, Convergence criteria of modified Noor iterations with errors for three asymptotically nonexpansive nonselfmappings, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 3, 181197
AMA Style
Thianwan Tanakit, Convergence criteria of modified Noor iterations with errors for three asymptotically nonexpansive nonselfmappings. J. Nonlinear Sci. Appl. (2013); 6(3):181197
Chicago/Turabian Style
Thianwan, Tanakit. "Convergence criteria of modified Noor iterations with errors for three asymptotically nonexpansive nonselfmappings." Journal of Nonlinear Sciences and Applications, 6, no. 3 (2013): 181197
Keywords
 Asymptotically nonexpansive nonselfmapping
 weak and strong convergence
 completely continuous
 Opial's condition
 common fixed points.
MSC
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