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Some Results on an Infinite Family of Nonexpansive Mappings and an Inverse-Strongly Monotone Mapping in Hilbert Spaces

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  • Peng Cheng
  • Anshen Zhang

Abstract

We study the problem of approximating a common element in the common fixed point set of an infinite family of nonexpansive mappings and in the solution set of a variational inequality involving an inverse-strongly monotone mapping based on a viscosity approximation iterative method. Strong convergence theorems of common elements are established in the framework of Hilbert spaces.

Suggested Citation

  • Peng Cheng & Anshen Zhang, 2012. "Some Results on an Infinite Family of Nonexpansive Mappings and an Inverse-Strongly Monotone Mapping in Hilbert Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, November.
    • Handle: RePEc:hin:jnlaaa:893635
    DOI: 10.1155/2012/893635
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