---
_id: '7577'
abstract:
- lang: eng
  text: Weak convergence of inertial iterative method for solving variational inequalities
    is the focus of this paper. The cost function is assumed to be non-Lipschitz and
    monotone. We propose a projection-type method with inertial terms and give weak
    convergence analysis under appropriate conditions. Some test results are performed
    and compared with relevant methods in the literature to show the efficiency and
    advantages given by our proposed methods.
acknowledgement: The project of the first author has received funding from the European
  Research Council (ERC) under the European Union's Seventh Framework Program (FP7
  - 2007-2013) (Grant agreement No. 616160).
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
citation:
  ama: Shehu Y, Iyiola OS. Weak convergence for variational inequalities with inertial-type
    method. <i>Applicable Analysis</i>. 2022;101(1):192-216. doi:<a href="https://doi.org/10.1080/00036811.2020.1736287">10.1080/00036811.2020.1736287</a>
  apa: Shehu, Y., &#38; Iyiola, O. S. (2022). Weak convergence for variational inequalities
    with inertial-type method. <i>Applicable Analysis</i>. Taylor &#38; Francis. <a
    href="https://doi.org/10.1080/00036811.2020.1736287">https://doi.org/10.1080/00036811.2020.1736287</a>
  chicago: Shehu, Yekini, and Olaniyi S. Iyiola. “Weak Convergence for Variational
    Inequalities with Inertial-Type Method.” <i>Applicable Analysis</i>. Taylor &#38;
    Francis, 2022. <a href="https://doi.org/10.1080/00036811.2020.1736287">https://doi.org/10.1080/00036811.2020.1736287</a>.
  ieee: Y. Shehu and O. S. Iyiola, “Weak convergence for variational inequalities
    with inertial-type method,” <i>Applicable Analysis</i>, vol. 101, no. 1. Taylor
    &#38; Francis, pp. 192–216, 2022.
  ista: Shehu Y, Iyiola OS. 2022. Weak convergence for variational inequalities with
    inertial-type method. Applicable Analysis. 101(1), 192–216.
  mla: Shehu, Yekini, and Olaniyi S. Iyiola. “Weak Convergence for Variational Inequalities
    with Inertial-Type Method.” <i>Applicable Analysis</i>, vol. 101, no. 1, Taylor
    &#38; Francis, 2022, pp. 192–216, doi:<a href="https://doi.org/10.1080/00036811.2020.1736287">10.1080/00036811.2020.1736287</a>.
  short: Y. Shehu, O.S. Iyiola, Applicable Analysis 101 (2022) 192–216.
date_created: 2020-03-09T07:06:52Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2024-03-05T14:01:52Z
day: '01'
ddc:
- '510'
- '515'
- '518'
department:
- _id: VlKo
doi: 10.1080/00036811.2020.1736287
ec_funded: 1
external_id:
  arxiv:
  - '2101.08057'
  isi:
  - '000518364100001'
file:
- access_level: open_access
  checksum: 869efe8cb09505dfa6012f67d20db63d
  content_type: application/pdf
  creator: dernst
  date_created: 2020-10-12T10:42:54Z
  date_updated: 2021-03-16T23:30:06Z
  embargo: 2021-03-15
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file_date_updated: 2021-03-16T23:30:06Z
has_accepted_license: '1'
intvolume: '       101'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 192-216
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Applicable Analysis
publication_identifier:
  eissn:
  - 1563-504X
  issn:
  - 0003-6811
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: Weak convergence for variational inequalities with inertial-type method
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 101
year: '2022'
...