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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

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

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
Journal Section TEMEL BİLİMLER
Authors

Yonghong Yao This is me

Rudong Chen This is me

Haiyun Zhou This is me

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

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