Literature DB >> 21490879

The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space.

Y Censor1, A Gibali, S Reich.   

Abstract

We present a subgradient extragradient method for solving variational inequalities in Hilbert space. In addition, we propose a modified version of our algorithm that finds a solution of a variational inequality which is also a fixed point of a given nonexpansive mapping. We establish weak convergence theorems for both algorithms.

Entities:  

Year:  2011        PMID： 21490879      PMCID： PMC3073511          DOI： 10.1007/s10957-010-9757-3

Source DB:  PubMed          Journal:  J Optim Theory Appl        ISSN： 0022-3239            Impact factor:   2.249


  1 in total

1.  FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE.

Authors:  F E Browder
Journal:  Proc Natl Acad Sci U S A       Date:  1965-06       Impact factor: 11.205
  1 in total
  5 in total

1.  Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem.

Authors:  Ying Zhao; Luoyi Shi
Journal:  J Inequal Appl       Date:  2017-02-28       Impact factor: 2.491

2.  Extra Proximal-Gradient Network with Learned Regularization for Image Compressive Sensing Reconstruction.

Authors:  Qingchao Zhang; Xiaojing Ye; Yunmei Chen
Journal:  J Imaging       Date:  2022-06-23

3.  Proximal extrapolated gradient methods for variational inequalities.

Authors:  Yu Malitsky
Journal:  Optim Methods Softw       Date:  2017-03-21

4.  A modified subgradient extragradient method for solving monotone variational inequalities.

Authors:  Songnian He; Tao Wu
Journal:  J Inequal Appl       Date:  2017-04-27       Impact factor: 2.491

5.  Bounded perturbation resilience of extragradient-type methods and their applications.

Authors:  Q-L Dong; A Gibali; D Jiang; Y Tang
Journal:  J Inequal Appl       Date:  2017-11-10       Impact factor: 2.491
  5 in total

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