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Strong Convergence for Finding Fixed Point of Multi-valued Mapping

  • Conference paper
Information Computing and Applications (ICICA 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 391))

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Abstract

It is known that the Mann iteration is for approximating fixed points of nonexpans-ive single-valued mappings. However, in general the Mann iteration process has only weak convergence. In recent years, Sastry, Babu and Panyanak introduced the Mann and Ishikawa iteration scheme for non-expansive multi-valued mapping and obtained the strong convergen-ce theorems. In this paper, we introduce a new iterative method for quasi-nonexpansive multi-valued maps in Banach spaces, and obtain the strong convergence theorems.

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Authors and Affiliations

  1. Qinggong College, Hebei United University, Tangshan, 063000, China

    Huancheng Zhang, Linan Shi & Jingguo Qu

  2. Hebei United University, Tangshan, 063000, China

    Xinghua Ma & Yan Yan

Authors
  1. Huancheng Zhang
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  2. Xinghua Ma
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  3. Linan Shi
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  4. Yan Yan
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  5. Jingguo Qu
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Editor information

Editors and Affiliations

  1. Shanghai Jiao Tong University, 800 Dongchuan Road, Dianxinqunlou 1-401, 200240, Shanghai, China

    Yuhang Yang

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, 639798, Singapore, Singapore

    Maode Ma

  3. College of Science, Hebei United University, 063009, Tangshan, Hebei, China

    Baoxiang Liu

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© 2013 Springer-Verlag Berlin Heidelberg

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Zhang, H., Ma, X., Shi, L., Yan, Y., Qu, J. (2013). Strong Convergence for Finding Fixed Point of Multi-valued Mapping. In: Yang, Y., Ma, M., Liu, B. (eds) Information Computing and Applications. ICICA 2013. Communications in Computer and Information Science, vol 391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53932-9_62

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  • DOI: https://doi.org/10.1007/978-3-642-53932-9_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53931-2

  • Online ISBN: 978-3-642-53932-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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