Pure and Applied Mathematics Journal

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On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators

Received: 16 July 2013    Accepted:     Published: 30 August 2013
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Abstract

In this paper, we establish the strong convergence theorem of Noor iterative scheme for the class of Zamfirescu operators in arbitrary Banach spaces. Our results is extension and ralization of the recent results of B. L. Xu, M. A. Noor, Y. J. Cho, H. Zhou, G. Guo, S. Plubtieng, R. Wangkeeree, V. Berinde, P. Kumam, W. Kumethong, N. Jewwaiworn and many other authors in literature.

DOI 10.11648/j.pamj.20130204.11
Published in Pure and Applied Mathematics Journal (Volume 2, Issue 4, August 2013)
Page(s) 140-145
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Fixed Point, Mann Iterative Scheme, Ishikawa Iterative Scheme, Noor Iterative Scheme, Zamfirescu Operators, T - Stable

References
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[21] J.U. Jeong, M. A. Noor and A. Rafiq, Noor iterations for nonlinear Lipschitizian strongly accretive mapping, J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math. 11339-350 (2004).
[22] J.U. Jeong, Jeong, Weak and strong convergence of the Noor iteration process for two asymptotically nonexpansive mappings, J. Appl. Math. & Computing 23 1-2, 525-536 (2007).
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Author Information
  • Department of Mathematics, Islamic University, Kushtia-7003, Bangladesh

  • Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh

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    Mohammad Asaduzzaman, Mohammad Zulfikar Ali. (2013). On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators. Pure and Applied Mathematics Journal, 2(4), 140-145. https://doi.org/10.11648/j.pamj.20130204.11

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    Mohammad Asaduzzaman; Mohammad Zulfikar Ali. On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators. Pure Appl. Math. J. 2013, 2(4), 140-145. doi: 10.11648/j.pamj.20130204.11

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    AMA Style

    Mohammad Asaduzzaman, Mohammad Zulfikar Ali. On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators. Pure Appl Math J. 2013;2(4):140-145. doi: 10.11648/j.pamj.20130204.11

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  • @article{10.11648/j.pamj.20130204.11,
      author = {Mohammad Asaduzzaman and Mohammad Zulfikar Ali},
      title = {On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators},
      journal = {Pure and Applied Mathematics Journal},
      volume = {2},
      number = {4},
      pages = {140-145},
      doi = {10.11648/j.pamj.20130204.11},
      url = {https://doi.org/10.11648/j.pamj.20130204.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.pamj.20130204.11},
      abstract = {In this paper, we establish the strong convergence theorem of Noor iterative scheme for the class of Zamfirescu operators in arbitrary Banach spaces. Our results is extension and ralization of the recent results of  B. L. Xu,  M. A. Noor, Y. J. Cho, H. Zhou, G. Guo, S. Plubtieng, R. Wangkeeree, V. Berinde, P. Kumam, W. Kumethong,  N. Jewwaiworn and many other authors in literature.},
     year = {2013}
    }
    

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    T1  - On the Strong Convergence Theorem of Noor Iterative Scheme in the Class of Zamfirescu Operators
    AU  - Mohammad Asaduzzaman
    AU  - Mohammad Zulfikar Ali
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    UR  - https://doi.org/10.11648/j.pamj.20130204.11
    AB  - In this paper, we establish the strong convergence theorem of Noor iterative scheme for the class of Zamfirescu operators in arbitrary Banach spaces. Our results is extension and ralization of the recent results of  B. L. Xu,  M. A. Noor, Y. J. Cho, H. Zhou, G. Guo, S. Plubtieng, R. Wangkeeree, V. Berinde, P. Kumam, W. Kumethong,  N. Jewwaiworn and many other authors in literature.
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