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

被引:0
|
作者
Yisheng Song
Changsen Yang
机构
[1] Henan Normal University,College of Mathematics and Information Science
来源
关键词
Maximal monotone operator; Proximal point algorithm; Resolvent identity; Strong convergence; 49J40; 47J20; 65J15;
D O I
暂无
中图分类号
学科分类号
摘要
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.
引用
收藏
页码:171 / 174
页数:3
相关论文
共 50 条
  • [31] On the Proximal Point Algorithm
    B. Djafari Rouhani
    H. Khatibzadeh
    Journal of Optimization Theory and Applications, 2008, 137 : 411 - 417
  • [32] Regularization of proximal point algorithms in Hadamard manifolds
    Qamrul Hasan Ansari
    Feeroz Babu
    Jen-Chih Yao
    Journal of Fixed Point Theory and Applications, 2019, 21
  • [33] Proximal Regularization for the Saddle Point Gradient Dynamics
    Goldsztajn, Diego
    Paganini, Fernando
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (09) : 4385 - 4392
  • [34] On the proximal point algorithm
    Rouhani, B. Djafari
    Khatibzadeh, H.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 137 (02) : 411 - 417
  • [35] Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces
    Jong Kyu Kim
    Truong Minh Tuyen
    Fixed Point Theory and Applications, 2011
  • [36] Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces
    Kim, Jong Kyu
    Truong Minh Tuyen
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [37] A note on the method of analytical regularization
    Fikioris, G
    IEEE ANTENNAS AND PROPAGATION MAGAZINE, 2001, 43 (02) : 34 - 40
  • [38] A note on the method of analytical regularization
    Fikioris, G
    Scattering and Biomedical Engineering: Modeling and Applications, 2002, : 203 - 213
  • [39] A proximal point algorithm revisit on the alternating direction method of multipliers
    CAI XingJu
    GU GuoYong
    HE BingSheng
    YUAN XiaoMing
    Science China(Mathematics), 2013, 56 (10) : 1279 - 1286
  • [40] A proximal point algorithm revisit on the alternating direction method of multipliers
    XingJu Cai
    GuoYong Gu
    BingSheng He
    XiaoMing Yuan
    Science China Mathematics, 2013, 56 : 2179 - 2186