---
_id: '9365'
abstract:
- lang: eng
  text: In this paper, we propose a new iterative method with alternated inertial
    step for solving split common null point problem in real Hilbert spaces. We obtain
    weak convergence of the proposed iterative algorithm. Furthermore, we introduce
    the notion of bounded linear regularity property for the split common null point
    problem and obtain the linear convergence property for the new algorithm under
    some mild assumptions. Finally, we provide some numerical examples to demonstrate
    the performance and efficiency of the proposed method.
acknowledgement: The second 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
author:
- first_name: Ferdinard U.
  full_name: Ogbuisi, Ferdinard U.
  last_name: Ogbuisi
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
- first_name: Jen Chih
  full_name: Yao, Jen Chih
  last_name: Yao
citation:
  ama: Ogbuisi FU, Shehu Y, Yao JC. Convergence analysis of new inertial method for
    the split common null point problem. <i>Optimization</i>. 2022;71(13):3767-3795.
    doi:<a href="https://doi.org/10.1080/02331934.2021.1914035">10.1080/02331934.2021.1914035</a>
  apa: Ogbuisi, F. U., Shehu, Y., &#38; Yao, J. C. (2022). Convergence analysis of
    new inertial method for the split common null point problem. <i>Optimization</i>.
    Taylor and Francis. <a href="https://doi.org/10.1080/02331934.2021.1914035">https://doi.org/10.1080/02331934.2021.1914035</a>
  chicago: Ogbuisi, Ferdinard U., Yekini Shehu, and Jen Chih Yao. “Convergence Analysis
    of New Inertial Method for the Split Common Null Point Problem.” <i>Optimization</i>.
    Taylor and Francis, 2022. <a href="https://doi.org/10.1080/02331934.2021.1914035">https://doi.org/10.1080/02331934.2021.1914035</a>.
  ieee: F. U. Ogbuisi, Y. Shehu, and J. C. Yao, “Convergence analysis of new inertial
    method for the split common null point problem,” <i>Optimization</i>, vol. 71,
    no. 13. Taylor and Francis, pp. 3767–3795, 2022.
  ista: Ogbuisi FU, Shehu Y, Yao JC. 2022. Convergence analysis of new inertial method
    for the split common null point problem. Optimization. 71(13), 3767–3795.
  mla: Ogbuisi, Ferdinard U., et al. “Convergence Analysis of New Inertial Method
    for the Split Common Null Point Problem.” <i>Optimization</i>, vol. 71, no. 13,
    Taylor and Francis, 2022, pp. 3767–95, doi:<a href="https://doi.org/10.1080/02331934.2021.1914035">10.1080/02331934.2021.1914035</a>.
  short: F.U. Ogbuisi, Y. Shehu, J.C. Yao, Optimization 71 (2022) 3767–3795.
date_created: 2021-05-02T22:01:29Z
date_published: 2022-11-01T00:00:00Z
date_updated: 2024-11-04T13:52:36Z
day: '01'
department:
- _id: VlKo
doi: 10.1080/02331934.2021.1914035
ec_funded: 1
external_id:
  isi:
  - '000640109300001'
intvolume: '        71'
isi: 1
issue: '13'
language:
- iso: eng
month: '11'
oa_version: None
page: 3767-3795
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Optimization
publication_identifier:
  eissn:
  - 1029-4945
  issn:
  - 0233-1934
publication_status: published
publisher: Taylor and Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: Convergence analysis of new inertial method for the split common null point
  problem
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 71
year: '2022'
...