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General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces

Abstract

We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence converges strongly to a common element of the above two sets under some parameters controlling conditions. Our results improve and generalize many known corresponding results.

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Correspondence to Yongfu Su.

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Kang, J., Su, Y. & Zhang, X. General Iterative Algorithm for Nonexpansive Semigroups and Variational Inequalities in Hilbert Spaces. J Inequal Appl 2010, 264052 (2010). https://doi.org/10.1155/2010/264052

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Keywords

  • Hilbert Space
  • Variational Inequality
  • Iterative Method
  • Iterative Algorithm
  • Common Element