MULTI PARAMETER PROXIMAL POINT ALGORITHMS

被引：0
|
作者：
Boikanyo, Oganeditse A. [2 ]
Morosanu, Gheorghe [1 ]
机构：
[1] Cent European Univ, Dept Math & Its Applicat, H-1051 Budapest, Hungary
[2] Univ Botswana, Dept Math, Gaborone, Botswana
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2012年 / 13卷 / 02期
关键词：
Firmly nonexpansive operator; maximal monotone operator; nonexpansive map; proximal point algorithm; resolvent operator; STRONG-CONVERGENCE; MONOTONE-OPERATORS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to prove a strong convergence result for an algorithm introduced by Y. Yao and M. A. Noor in 2008 under a new condition on one of the parameters involved. Further, convergence properties of a generalized proximal point algorithm which was introduced in [5] are analyzed. The results in this paper are proved under the general condition that errors tend to zero in norm. These results extend and improve several previous results on the regularization method and the proximal point algorithm.
引用
收藏
页码：221 / 231
页数：11
相关论文
共 50 条
  • [1] Four parameter proximal point algorithms
    Boikanyo, O. A.
    Morosanu, G.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (02) : 544 - 555
  • [2] A Family of Multi-Parameterized Proximal Point Algorithms
    Bai, Jianchao
    Guo, Ke
    Chang, Xiaokai
    IEEE ACCESS, 2019, 7 : 164021 - 164028
  • [3] On the contraction-proximal point algorithms with multi-parameters
    Fenghui Wang
    Huanhuan Cui
    Journal of Global Optimization, 2012, 54 : 485 - 491
  • [4] On the contraction-proximal point algorithms with multi-parameters
    Wang, Fenghui
    Cui, Huanhuan
    JOURNAL OF GLOBAL OPTIMIZATION, 2012, 54 (03) : 485 - 491
  • [5] On the diagonal proximal point algorithms
    Khatibzadeh, Hadi
    Rahimi Piranfar, Mohsen
    Rooin, Jamal
    OPTIMIZATION, 2025, 74 (03) : 655 - 682
  • [6] The Developments of Proximal Point Algorithms
    Cai, Xing-Ju
    Guo, Ke
    Jiang, Fan
    Wang, Kai
    Wu, Zhong-Ming
    Han, De-Ren
    JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2022, 10 (02) : 197 - 239
  • [7] The Developments of Proximal Point Algorithms
    Xing-Ju Cai
    Ke Guo
    Fan Jiang
    Kai Wang
    Zhong-Ming Wu
    De-Ren Han
    Journal of the Operations Research Society of China, 2022, 10 : 197 - 239
  • [8] Relaxed proximal point algorithms for variational inequalities with multi-valued operators
    Huebner, E.
    Tichatschke, R.
    OPTIMIZATION METHODS & SOFTWARE, 2008, 23 (06): : 847 - 877
  • [9] Error bounds for proximal point subproblems and associated inexact proximal point algorithms
    M.V. Solodov
    B.F. Svaiter
    Mathematical Programming, 2000, 88 : 371 - 389
  • [10] Error bounds for proximal point subproblems and associated inexact proximal point algorithms
    Solodov, MV
    Svaiter, BF
    MATHEMATICAL PROGRAMMING, 2000, 88 (02) : 371 - 389
12345