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
  • [21] Modified Proximal Point Algorithms for Solving Constrained Minimization and Fixed Point Problems in Complete CAT(0) Spaces
    Phuengrattana, Withun
    Onjai-uea, Nawitcha
    Cholamjiak, Prasit
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)
  • [22] A note on the regularized proximal point algorithm
    Wang, Fenghui
    JOURNAL OF GLOBAL OPTIMIZATION, 2011, 50 (03) : 531 - 535
  • [23] The contraction-proximal point algorithm with square-summable errors
    Tian, Changan
    Wang, Fenghui
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [24] Inexact and Accelerated Proximal Point Algorithms
    Salzo, Saverio
    Villa, Silvia
    JOURNAL OF CONVEX ANALYSIS, 2012, 19 (04) : 1167 - 1192
  • [25] Convergence of generalized proximal point algorithms
    Marino, G
    Xu, HK
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2004, 3 (04) : 791 - 808
  • [26] ON A HYBRID PROXIMAL POINT ALGORITHM IN BANACH SPACES
    Dadashi, Vahid
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (03): : 45 - 54
  • [27] Proximal Point Algorithms for Multi-criteria Optimization with the Difference of Convex Objective Functions
    Ji, Ying
    Goh, Mark
    de Souza, Robert
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 169 (01) : 280 - 289
  • [28] Proximal Point Algorithms for Multi-criteria Optimization with the Difference of Convex Objective Functions
    Ying Ji
    Mark Goh
    Robert de Souza
    Journal of Optimization Theory and Applications, 2016, 169 : 280 - 289
  • [29] A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators
    Tahernia, Mohsen
    Moradi, Sirous
    Jafari, Somaye
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2019, 16 (01): : 1 - 15
  • [30] Regularization of proximal point algorithms in Hadamard manifolds
    Ansari, Qamrul Hasan
    Babu, Feeroz
    Yao, Jen-Chih
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (01)
12345