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Approximating Common Fixed Points of One-step Iterative Scheme with Error for Asymptotically Quasi-nonexpansive Type Nonself-Mappings
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  • Journal title : Kyungpook mathematical journal
  • Volume 49, Issue 4,  2009, pp.667-674
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2009.49.4.667
 Title & Authors
Approximating Common Fixed Points of One-step Iterative Scheme with Error for Asymptotically Quasi-nonexpansive Type Nonself-Mappings
Puturong, Narongrit;
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 Abstract
In this paper, a new one-step iterative scheme with error for approximating common fixed points of asymptotically quasi-nonexpansive type nonself-mappings in Banach space is defined. The results obtained in this paper extend and improve the recent ones, announced by H. Y. Zhou, Y. J. Cho, and S. M. Kang [Zhou et al.,(2007), namely, A new iterative algorithm for approximating common fixed points for asymptotically non-expansive mappings, published to Fixed Point Theory and Applications 2007 : 1-9], and many others.
 Keywords
asymptotically quasi-nonexpansive type nonself-mapping;completely continuous;uniformly convex Banach space;smooth Banach space;uniformly L-Lipschitzian nonself-mapping;weakly inward;one-step iterative scheme;
 Language
English
 Cited by
 References
1.
S. S. Chang, J. K. Kim, and S. M. Kang, Approximating fixed points of asymptotically quasi-nonexpansive type mappings by the Ishikawa iterative sequences with mixed errors, Dynamic Systems and Applications, 13(2004), 179-186.

2.
W. Nilsrakoo and S. Saejung, A new three-step fixed point iteration scheme for asymptotically nonexpansive mapping, Applied Mathematics and Computation, 181(2006), 1026-1034. crossref(new window)

3.
J. Quan, S. S. Chang and X. J. Long, Approximation common fixed point asymptotically quasi-nonexpansive type mappings by the finite steps iterative sequences, Fixed Point Theory and Applications, 2006(2006), 8 pages.

4.
Robert E. Megginson, An Introduction to Banach Space Theory, Springer-Verlag New York, 1998.

5.
D. R. Sahu and J. S. Jung, Fixed point iteration processes for non-Lipschitzian mappings of asymptotically quasi-nonexpansive type, International Journal of Mathematics and Mathematical Sciences, 2003(2003), 2075-2081. crossref(new window)

6.
J. Schu, Iterative construction of fixed point of asymptotically nonexpansive mappings, Journal of Mathematical Analysis and Applications, 158(1991), 407-413. crossref(new window)

7.
K. K. Tan and H. K. Xu, Approximating fixed points of nonexpansive mapping by the Ishikawa iteration process, Journal of Mathematical Analysis and Applications, 178(1993), 301-308. crossref(new window)

8.
H. Y. Zhou, Y. J. Cho and S. M. Kang, A new iterative algorithm for approximating common fixed points for asymptotically nonexpansive mappings, Fixed Point Theory and Applications, 2007(2007), 10 pages.