THE PERTURBED PROXIMAL POINT ALGORITHM AND SOME OF ITS APPLICATIONS

被引：30
|
作者：
TOSSINGS, P
机构：
[1] Service de Mathématiques Générales, Institut de Mathémathique, Université de Liège, Liège, B-4000
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 1994年 / 29卷 / 02期
关键词：
PROXIMAL REGULARIZATION; PERTURBATION; VARIATIONAL CONVERGENCE; CONVEX OPTIMIZATION; VARIATIONAL INCLUSIONS; VARIATIONAL INEQUALITIES;
D O I：
10.1007/BF01204180
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Following the works of R. T. Rockafellar, to search for a zero of a maximal monotone operator, and of B. Lemaire, to solve convex optimization problems, we present a perturbed version of the proximal point algorithm. We apply this new algorithm to convex optimization and to variational inclusions or, more particularly, to variational inequalities.
引用
收藏
页码：125 / 159
页数：35
相关论文
共 50 条
  • [1] Perturbed proximal point algorithm and some of its applications
    Tossings, P.
    Applied Mathematics and Optimization, 1994, 29 (02):
  • [2] THE PERTURBED TIKHONOV ALGORITHM AND SOME OF ITS APPLICATIONS
    TOSSINGS, P
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1994, 28 (02): : 189 - 221
  • [3] The perturbed generalized proximal point algorithm
    Alexandre, P
    Nguyen, VH
    Tossings, P
    RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1998, 32 (02): : 223 - 253
  • [4] Some Remarks on the Proximal Point Algorithm
    Hadi Khatibzadeh
    Journal of Optimization Theory and Applications, 2012, 153 : 769 - 778
  • [5] Some Remarks on the Proximal Point Algorithm
    Khatibzadeh, Hadi
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 153 (03) : 769 - 778
  • [6] Hybrid proximal point algorithm for solving split equilibrium problems and its applications
    Safari, Maryam
    Moradlou, Fridoun
    Khalilzadeh, Ali Asghar
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (04): : 932 - 957
  • [7] A Proximal Interior Point Algorithm with Applications to Image Processing
    Chouzenoux, Emilie
    Corbineau, Marie-Caroline
    Pesquet, Jean-Christophe
    JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2020, 62 (6-7) : 919 - 940
  • [8] ON THE GENERALIZED PROXIMAL POINT ALGORITHM WITH APPLICATIONS TO INCLUSION PROBLEMS
    Verma, Ram U.
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2009, 5 (02) : 381 - 390
  • [9] A Proximal Interior Point Algorithm with Applications to Image Processing
    Emilie Chouzenoux
    Marie-Caroline Corbineau
    Jean-Christophe Pesquet
    Journal of Mathematical Imaging and Vision, 2020, 62 : 919 - 940
  • [10] A PROXIMAL POINT ALGORITHM FOR SEQUENTIAL FEATURE EXTRACTION APPLICATIONS
    Doan, Xuan Vinh
    Toh, Kim-Chuan
    Vavasis, Stephen
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2013, 35 (01): : A517 - A540
12345