Generalized implicit hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space

被引：0
|
作者：
Ceng, Lu-Chuan [2 ]
Yao, Jen-Chih [1 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan
[2] Sci Comp Key Lab Shanghai Univ, Dept Math, Shanghai Normal Univ, Shanghai 200234, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 03期
关键词：
maximal monotone operator; proximal point; inexact iteration; relaxation; weak convergence;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a generalized implicit hybrid projection-proximal point algorithm for finding zeros of a maximal monotone operator in a Hilbert space setting. The global convergence of the method for the weak topology under appropriate assumptions on the algorithm parameters is established.
引用
收藏
页码：753 / 766
页数：14
相关论文
共 50 条
  • [21] MONOTONE OPERATORS AND PROXIMAL POINT ALGORITHM
    ROCKAFELLAR, RT
    SIAM JOURNAL ON CONTROL, 1976, 14 (05): : 877 - 898
  • [22] An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces
    Somyot Plubtieng
    Wanna Sriprad
    Fixed Point Theory and Applications, 2009
  • [23] Convergence of a hybrid projection-proximal point algorithm coupled with approximation methods in convex optimization
    Alvarez, F
    Carrasco, M
    Pichard, K
    MATHEMATICS OF OPERATIONS RESEARCH, 2005, 30 (04) : 966 - 984
  • [24] An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces
    Plubtieng, Somyot
    Sriprad, Wanna
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [25] Modified Proximal-Point Algorithm for Maximal Monotone Operators in Banach Spaces
    L. Li
    W. Song
    Journal of Optimization Theory and Applications, 2008, 138 : 45 - 64
  • [26] Modified proximal-point algorithm for maximal monotone operators in banach spaces
    Li, L.
    Song, W.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 138 (01) : 45 - 64
  • [27] The indefinite proximal point algorithms for maximal monotone operators
    Jiang, Fan
    Cai, Xingju
    Han, Deren
    OPTIMIZATION, 2021, 70 (08) : 1759 - 1790
  • [28] A proximal point method for the sum of maximal monotone operators
    Xiao, Hongying
    Zeng, Xueying
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (17) : 2638 - 2650
  • [29] An Implicit Algorithm for Maximal Monotone Operators and Pseudocontractive Mappings
    Li, Hong-Jun
    Liou, Yeong-Cheng
    Li, Cun-Lin
    Noor, Muhammad Aslam
    Yao, Yonghong
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [30] Inexact Inertial Proximal Algorithm for Maximal Monotone Operators
    Khatibzadeh, Hadi
    Ranjbar, Sajad
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2015, 23 (02): : 133 - 146
12345