A note on a paper “A regularization method for the proximal point algorithm”

Abstract

In this note, a small gap is corrected in the proof of H.K. Xu [Theorem 3.3, A regularization method for the proximal point algorithm, J. Glob. Optim. 36, 115–125 (2006)], and some strict restriction is removed also.

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Authors and Affiliations

1. College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, Henan, P.R. China

   Yisheng Song & Changsen Yang

Authors

1. Yisheng Song
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2. Changsen Yang
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Correspondence to Yisheng Song.

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Song, Y., Yang, C. A note on a paper “A regularization method for the proximal point algorithm”. J Glob Optim 43, 171–174 (2009). https://doi.org/10.1007/s10898-008-9279-9

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• Received: 14 July 2007

• Accepted: 26 January 2008

• Published: 14 February 2008

• Issue Date: January 2009

• DOI: https://doi.org/10.1007/s10898-008-9279-9

Keywords

• Maximal monotone operator
• Proximal point algorithm
• Resolvent identity
• Strong convergence

AMS Subject Classification (2000)

• 49J40
• 47J20
• 65J15