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An Iterative Method for a Class of Generalized Global Dynamical System Involving Fuzzy Mappings in Hilbert Spaces

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Neural Information Processing (ICONIP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7666))

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Abstract

This paper presents a class of generalized global dynamical system involving (H,η) set-valued monotone mappings and a set-valued function induced by a closed fuzzy mapping in Hilbert spaces. By using the resolvent operator technique and Nadler fixed-point theorem, we prove the equilibrium point set is not empty and closed. Furthermore, we develop a new iterative scheme which generates a Cauchy sequence strongly converging to an equilibrium point.

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Author information

Authors and Affiliations

  1. School of Automation, Southeast University, Nanjing, 210096, P.R. China

    Yun-zhi Zou & Chang-yin Sun

  2. College of Mathematics, Sichuan University, Chengdu, 610064, P.R. China

    Xin-kun Wu

  3. College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, P.R. China

    Wen-bin Zhang

Authors
  1. Yun-zhi Zou
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  2. Xin-kun Wu
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  3. Wen-bin Zhang
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  4. Chang-yin Sun
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Editor information

Editors and Affiliations

  1. Texas A&M University at Qatar, Education City, P.O. Box 23874, Doha, Qatar

    Tingwen Huang

  2. Department of Control Science and Engineering, Huazhong University of Science and Technology, 1037 Luoyu Road, 430074, Wuhan, Hubei, China

    Zhigang Zeng

  3. College of Computer Science, Chongqing University, 174 Shazhengjie Street, 400044, Chongqing, China

    Chuandong Li

  4. Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China

    Chi Sing Leung

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© 2012 Springer-Verlag Berlin Heidelberg

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Zou, Yz., Wu, Xk., Zhang, Wb., Sun, Cy. (2012). An Iterative Method for a Class of Generalized Global Dynamical System Involving Fuzzy Mappings in Hilbert Spaces. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7666. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34478-7_6

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  • DOI: https://doi.org/10.1007/978-3-642-34478-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34477-0

  • Online ISBN: 978-3-642-34478-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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