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An Extension of Subgradient Method for Variational Inequality Problems in Hilbert Space

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  • Xueyong Wang
  • Shengjie Li
  • Xipeng Kou

Abstract

An extension of subgradient method for solving variational inequality problems is presented. A new iterative process, which relates to the fixed point of a nonexpansive mapping and the current iterative point, is generated. A weak convergence theorem is obtained for three sequences generated by the iterative process under some mild conditions.

Suggested Citation

  • Xueyong Wang & Shengjie Li & Xipeng Kou, 2013. "An Extension of Subgradient Method for Variational Inequality Problems in Hilbert Space," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, March.
    • Handle: RePEc:hin:jnlaaa:531912
    DOI: 10.1155/2013/531912
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