---
_id: '7925'
abstract:
- lang: eng
  text: In this paper, we introduce a relaxed CQ method with alternated inertial step
    for solving split feasibility problems. We give convergence of the sequence generated
    by our method under some suitable assumptions. Some numerical implementations
    from sparse signal and image deblurring are reported to show the efficiency of
    our method.
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). The authors are grateful to the referees for their insightful comments
  which have improved the earlier version of the manuscript greatly. 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: Yes (via OA deal)
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
citation:
  ama: Shehu Y, Gibali A. New inertial relaxed method for solving split feasibilities.
    <i>Optimization Letters</i>. 2021;15:2109-2126. doi:<a href="https://doi.org/10.1007/s11590-020-01603-1">10.1007/s11590-020-01603-1</a>
  apa: Shehu, Y., &#38; Gibali, A. (2021). New inertial relaxed method for solving
    split feasibilities. <i>Optimization Letters</i>. Springer Nature. <a href="https://doi.org/10.1007/s11590-020-01603-1">https://doi.org/10.1007/s11590-020-01603-1</a>
  chicago: Shehu, Yekini, and Aviv Gibali. “New Inertial Relaxed Method for Solving
    Split Feasibilities.” <i>Optimization Letters</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s11590-020-01603-1">https://doi.org/10.1007/s11590-020-01603-1</a>.
  ieee: Y. Shehu and A. Gibali, “New inertial relaxed method for solving split feasibilities,”
    <i>Optimization Letters</i>, vol. 15. Springer Nature, pp. 2109–2126, 2021.
  ista: Shehu Y, Gibali A. 2021. New inertial relaxed method for solving split feasibilities.
    Optimization Letters. 15, 2109–2126.
  mla: Shehu, Yekini, and Aviv Gibali. “New Inertial Relaxed Method for Solving Split
    Feasibilities.” <i>Optimization Letters</i>, vol. 15, Springer Nature, 2021, pp.
    2109–26, doi:<a href="https://doi.org/10.1007/s11590-020-01603-1">10.1007/s11590-020-01603-1</a>.
  short: Y. Shehu, A. Gibali, Optimization Letters 15 (2021) 2109–2126.
date_created: 2020-06-04T11:28:33Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2024-03-07T15:00:43Z
day: '01'
ddc:
- '510'
department:
- _id: VlKo
doi: 10.1007/s11590-020-01603-1
ec_funded: 1
external_id:
  isi:
  - '000537342300001'
file:
- access_level: open_access
  checksum: 63c5f31cd04626152a19f97a2476281b
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  creator: kschuh
  date_created: 2024-03-07T14:58:51Z
  date_updated: 2024-03-07T14:58:51Z
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has_accepted_license: '1'
intvolume: '        15'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 2109-2126
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Optimization Letters
publication_identifier:
  eissn:
  - 1862-4480
  issn:
  - 1862-4472
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: New inertial relaxed method for solving split feasibilities
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2021'
...