---
_id: '7161'
abstract:
- lang: eng
  text: In this paper, we introduce an inertial projection-type method with different
    updating strategies for solving quasi-variational inequalities with strongly monotone
    and Lipschitz continuous operators in real Hilbert spaces. Under standard assumptions,
    we establish different strong convergence results for the proposed algorithm.
    Primary numerical experiments demonstrate the potential applicability of our scheme
    compared with some related methods in the literature.
acknowledgement: We are grateful to the anonymous referees and editor whose insightful
  comments helped to considerably improve an earlier version of this paper. The research
  of the first author is supported by an ERC Grant from the Institute of Science and
  Technology (IST).
article_processing_charge: No
article_type: original
author:
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
- first_name: Aviv
  full_name: Gibali, Aviv
  last_name: Gibali
- first_name: Simone
  full_name: Sagratella, Simone
  last_name: Sagratella
citation:
  ama: Shehu Y, Gibali A, Sagratella S. Inertial projection-type methods for solving
    quasi-variational inequalities in real Hilbert spaces. <i>Journal of Optimization
    Theory and Applications</i>. 2020;184:877–894. doi:<a href="https://doi.org/10.1007/s10957-019-01616-6">10.1007/s10957-019-01616-6</a>
  apa: Shehu, Y., Gibali, A., &#38; Sagratella, S. (2020). Inertial projection-type
    methods for solving quasi-variational inequalities in real Hilbert spaces. <i>Journal
    of Optimization Theory and Applications</i>. Springer Nature. <a href="https://doi.org/10.1007/s10957-019-01616-6">https://doi.org/10.1007/s10957-019-01616-6</a>
  chicago: Shehu, Yekini, Aviv Gibali, and Simone Sagratella. “Inertial Projection-Type
    Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces.” <i>Journal
    of Optimization Theory and Applications</i>. Springer Nature, 2020. <a href="https://doi.org/10.1007/s10957-019-01616-6">https://doi.org/10.1007/s10957-019-01616-6</a>.
  ieee: Y. Shehu, A. Gibali, and S. Sagratella, “Inertial projection-type methods
    for solving quasi-variational inequalities in real Hilbert spaces,” <i>Journal
    of Optimization Theory and Applications</i>, vol. 184. Springer Nature, pp. 877–894,
    2020.
  ista: Shehu Y, Gibali A, Sagratella S. 2020. Inertial projection-type methods for
    solving quasi-variational inequalities in real Hilbert spaces. Journal of Optimization
    Theory and Applications. 184, 877–894.
  mla: Shehu, Yekini, et al. “Inertial Projection-Type Methods for Solving Quasi-Variational
    Inequalities in Real Hilbert Spaces.” <i>Journal of Optimization Theory and Applications</i>,
    vol. 184, Springer Nature, 2020, pp. 877–894, doi:<a href="https://doi.org/10.1007/s10957-019-01616-6">10.1007/s10957-019-01616-6</a>.
  short: Y. Shehu, A. Gibali, S. Sagratella, Journal of Optimization Theory and Applications
    184 (2020) 877–894.
date_created: 2019-12-09T21:33:44Z
date_published: 2020-03-01T00:00:00Z
date_updated: 2024-11-04T13:52:44Z
day: '01'
ddc:
- '518'
- '510'
- '515'
department:
- _id: VlKo
doi: 10.1007/s10957-019-01616-6
ec_funded: 1
external_id:
  isi:
  - '000511805200009'
file:
- access_level: open_access
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  content_type: application/pdf
  creator: dernst
  date_created: 2020-10-12T10:40:27Z
  date_updated: 2021-03-16T23:30:04Z
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file_date_updated: 2021-03-16T23:30:04Z
has_accepted_license: '1'
intvolume: '       184'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
page: 877–894
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Journal of Optimization Theory and Applications
publication_identifier:
  eissn:
  - 1573-2878
  issn:
  - 0022-3239
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Inertial projection-type methods for solving quasi-variational inequalities
  in real Hilbert spaces
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 184
year: '2020'
...