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Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space

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  • Hongjie Liu
  • Junqing Wang
  • Qiansheng Feng

Abstract

We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α -inverse strongly monotone mapping in a Hilbert space. Manaka and Takahashi (2011) proved weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space; there we introduced new iterative algorithms and got some strong convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space.

Suggested Citation

  • Hongjie Liu & Junqing Wang & Qiansheng Feng, 2012. "Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, December.
    • Handle: RePEc:hin:jnlaaa:917857
    DOI: 10.1155/2012/917857
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