---
_id: '7000'
abstract:
- lang: eng
  text: The main contributions of this paper are the proposition and the convergence
    analysis of a class of inertial projection-type algorithm for solving variational
    inequality problems in real Hilbert spaces where the underline operator is monotone
    and uniformly continuous. We carry out a unified analysis of the proposed method
    under very mild assumptions. In particular, weak convergence of the generated
    sequence is established and nonasymptotic O(1 / n) rate of convergence is established,
    where n denotes the iteration counter. We also present some experimental results
    to illustrate the profits gained by introducing the inertial extrapolation steps.
article_number: '161'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
- first_name: Olaniyi S.
  full_name: Iyiola, Olaniyi S.
  last_name: Iyiola
- first_name: Xiao-Huan
  full_name: Li, Xiao-Huan
  last_name: Li
- first_name: Qiao-Li
  full_name: Dong, Qiao-Li
  last_name: Dong
citation:
  ama: Shehu Y, Iyiola OS, Li X-H, Dong Q-L. Convergence analysis of projection method
    for variational inequalities. <i>Computational and Applied Mathematics</i>. 2019;38(4).
    doi:<a href="https://doi.org/10.1007/s40314-019-0955-9">10.1007/s40314-019-0955-9</a>
  apa: Shehu, Y., Iyiola, O. S., Li, X.-H., &#38; Dong, Q.-L. (2019). Convergence
    analysis of projection method for variational inequalities. <i>Computational and
    Applied Mathematics</i>. Springer Nature. <a href="https://doi.org/10.1007/s40314-019-0955-9">https://doi.org/10.1007/s40314-019-0955-9</a>
  chicago: Shehu, Yekini, Olaniyi S. Iyiola, Xiao-Huan Li, and Qiao-Li Dong. “Convergence
    Analysis of Projection Method for Variational Inequalities.” <i>Computational
    and Applied Mathematics</i>. Springer Nature, 2019. <a href="https://doi.org/10.1007/s40314-019-0955-9">https://doi.org/10.1007/s40314-019-0955-9</a>.
  ieee: Y. Shehu, O. S. Iyiola, X.-H. Li, and Q.-L. Dong, “Convergence analysis of
    projection method for variational inequalities,” <i>Computational and Applied
    Mathematics</i>, vol. 38, no. 4. Springer Nature, 2019.
  ista: Shehu Y, Iyiola OS, Li X-H, Dong Q-L. 2019. Convergence analysis of projection
    method for variational inequalities. Computational and Applied Mathematics. 38(4),
    161.
  mla: Shehu, Yekini, et al. “Convergence Analysis of Projection Method for Variational
    Inequalities.” <i>Computational and Applied Mathematics</i>, vol. 38, no. 4, 161,
    Springer Nature, 2019, doi:<a href="https://doi.org/10.1007/s40314-019-0955-9">10.1007/s40314-019-0955-9</a>.
  short: Y. Shehu, O.S. Iyiola, X.-H. Li, Q.-L. Dong, Computational and Applied Mathematics
    38 (2019).
date_created: 2019-11-12T12:41:44Z
date_published: 2019-12-01T00:00:00Z
date_updated: 2023-08-30T07:20:32Z
day: '01'
ddc:
- '510'
- '515'
- '518'
department:
- _id: VlKo
doi: 10.1007/s40314-019-0955-9
ec_funded: 1
external_id:
  arxiv:
  - '2101.09081'
  isi:
  - '000488973100005'
has_accepted_license: '1'
intvolume: '        38'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s40314-019-0955-9
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Computational and Applied Mathematics
publication_identifier:
  eissn:
  - 1807-0302
  issn:
  - 2238-3603
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Convergence analysis of projection method for variational inequalities
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 38
year: '2019'
...