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Shrinking Projection Method for a Family of Quasinonexpansive Mappings with a Sequence of Subsets of an Index Set

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Nonlinear Mathematics for Uncertainty and its Applications

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 100))

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Abstract

Using a sequence of subsets of an index set for a family of quasinonexpansive mappings, we propose an iterative scheme generated by the shrinking projection method for finding their common fixed point. We prove strong convergence of this scheme under appropriate conditions.

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Author information

Authors and Affiliations

  1. Department of Information Science, Toho University, Miyama, Funabashi, Chiba, 274-8510, Japan

    Yasunori Kimura

Authors
  1. Yasunori Kimura
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Editors and Affiliations

  1. College of Applied Sciences, Beijing University of Technology, 100 Pingleyuan, 100124, Chaoyang District, Beijing, P.R. China

    Shoumei Li , Xia Wang  & Li Guan ,  & 

  2. Department of Systems Design and Informatics, Kyushu Institute of Technology, 680-4, Kawazu, 820-8502, lizuka, Japan

    Yoshiaki Okazaki

  3. Department of Mathematics, Shinshu University, 4-17-1 Wakasato, 380-8553, Nagano, Japan

    Jun Kawabe

  4. Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259-G3-47, Nagatsuta, Midori-ku, 226-8502, Yokohama, Japan

    Toshiaki Murofushi

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© 2011 Springer-Verlag Berlin Heidelberg

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Kimura, Y. (2011). Shrinking Projection Method for a Family of Quasinonexpansive Mappings with a Sequence of Subsets of an Index Set. In: Li, S., Wang, X., Okazaki, Y., Kawabe, J., Murofushi, T., Guan, L. (eds) Nonlinear Mathematics for Uncertainty and its Applications. Advances in Intelligent and Soft Computing, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22833-9_45

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  • DOI: https://doi.org/10.1007/978-3-642-22833-9_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22832-2

  • Online ISBN: 978-3-642-22833-9

  • eBook Packages: EngineeringEngineering (R0)

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