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A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY

Year 2005, Volume: 9 Issue: 3, 1 - 6, 09.04.2009

Yonghong Yao Rudong Chen Haiyun Zhou

https://izlik.org/JA72KN48CN

Abstract

In this paper, we extend the result due to Liu Qihou and prove some sufficient and necessary conditions for modified Ishikawa iterative sequences of asymptotically quasi-nonexpansive mappings with error member to converge to
fixed points.

Keywords

-

References

  • W.V.Petryshyn and T.E.Williamson, Strong and weak convergence of the sequence of suc- cessive approximations for quasi-nonexpansive mappings, J. Math. Anal. Appl. 43 (1973), 459–497.
  • M,K,Ghosh and L.Debnath, Convergence of Ishikawa iterations of quasi-nonexpansive map- pings, J. Math. Anal. Appl. 207 (1997), 96–103.
  • Liu Qihou, Iterative sequences for asymptotically quasi-nonexpansive mappings with error member, J. Math. Anal. Appl. 259 (2001), 18–24.

Year 2005, Volume: 9 Issue: 3, 1 - 6, 09.04.2009

Yonghong Yao Rudong Chen Haiyun Zhou

https://izlik.org/JA72KN48CN

Abstract

Keywords

Asymptotically quasi-nonexpansive mapping Modified Ishikawa iterative sequence Banach space

References

  • W.V.Petryshyn and T.E.Williamson, Strong and weak convergence of the sequence of suc- cessive approximations for quasi-nonexpansive mappings, J. Math. Anal. Appl. 43 (1973), 459–497.
  • M,K,Ghosh and L.Debnath, Convergence of Ishikawa iterations of quasi-nonexpansive map- pings, J. Math. Anal. Appl. 207 (1997), 96–103.
  • Liu Qihou, Iterative sequences for asymptotically quasi-nonexpansive mappings with error member, J. Math. Anal. Appl. 259 (2001), 18–24.
There are 3 citations in total.

Details

Primary Language English
Authors

Yonghong Yao This is me

Rudong Chen This is me

Haiyun Zhou This is me

Publication Date April 9, 2009
DOI https://doi.org/10.19113/sdufbed.65213
IZ https://izlik.org/JA72KN48CN
Published in Issue Year 2005 Volume: 9 Issue: 3

Cite

APA Yao, Y., Chen, R., & Zhou, H. (2009). A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 9(3), 1-6. https://doi.org/10.19113/sdufbed.65213
AMA 1.Yao Y, Chen R, Zhou H. A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY. J. Nat. Appl. Sci. 2009;9(3):1-6. doi:10.19113/sdufbed.65213
Chicago Yao, Yonghong, Rudong Chen, and Haiyun Zhou. 2009. “A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9 (3): 1-6. https://doi.org/10.19113/sdufbed.65213.
EndNote Yao Y, Chen R, Zhou H (March 1, 2009) A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9 3 1–6.
IEEE [1]Y. Yao, R. Chen, and H. Zhou, “A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY”, J. Nat. Appl. Sci., vol. 9, no. 3, pp. 1–6, Mar. 2009, doi: 10.19113/sdufbed.65213.
ISNAD Yao, Yonghong - Chen, Rudong - Zhou, Haiyun. “A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9/3 (March 1, 2009): 1-6. https://doi.org/10.19113/sdufbed.65213.
JAMA 1.Yao Y, Chen R, Zhou H. A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY. J. Nat. Appl. Sci. 2009;9:1–6.
MLA Yao, Yonghong, et al. “A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 9, no. 3, Mar. 2009, pp. 1-6, doi:10.19113/sdufbed.65213.
Vancouver 1.Yonghong Yao, Rudong Chen, Haiyun Zhou. A NOTE ON ITERATION SEQUENCES FOR ASYMPTOTICALLY. J. Nat. Appl. Sci. 2009 Mar. 1;9(3):1-6. doi:10.19113/sdufbed.65213

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