Article

Journal of Global Optimization

, Volume 36, Issue 1, pp 115-125

A Regularization Method for the Proximal Point Algorithm

  • Hong-Kun XuAffiliated withSchool of Mathematical Sciences, University of KawZulu-Natal Email author 

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Abstract

A regularization method for the proximal point algorithm of finding a zero for a maximal monotone operator in a Hilbert space is proposed. Strong convergence of this algorithm is proved.

Keywords

maximal monotone operator projection proximal point algorithm regularization method resolvent identity strong convergence

Keywords

49J40 47J20 65J15