Full length article: Subgradient projection algorithms for convex feasibility problems in the presence of computational errors

  • Authors:
  • Alexander J. Zaslavski

  • Affiliations:
  • -

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2013

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Abstract

In the present paper we study convergence of subgradient projection algorithms for solving convex feasibility problems in a Hilbert space. Our goal is to obtain an approximate solution of the problem in the presence of computational errors. We show that our subgradient projection algorithm generates a good approximate solution, if the sequence of computational errors is bounded from above by a constant.