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Simple algorithm for projection operator

HE Song-nian,ZHAO Zi-yi   

  1. (College of Science,CAUC,Tianjin 300300,China)
  • Received:2013-07-12 Revised:2013-09-02 Online:2014-08-26 Published:2014-10-31

Abstract:

A relaxed Halpern's projection algorithm is proposed. Since this algorithm computes the projection onto level set of a convex function by computing the projection onto a series of half-spaces containing a level set,it is easy to be implemented. Strong convergence of this algorithm is proved.

Key words: projection, half-space, strong convergence, Hilbert space

CLC Number: