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Volume 33, Issue 4
A New Hybrid Algorithm and Its Numerical Realization for a Quasi-Nonexpansive Mapping

Xinghui Gao & Lerong Ma

DOI: 10.13447/j.1674-5647.2017.04.06

Commun. Math. Res., 33 (2017), pp. 340-346.

Published online: 2019-11

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  • Abstract

The purpose of this article is to propose a new hybrid projection method for a quasi-nonexpansive mapping. The strong convergence of the algorithm is proved in real Hilbert spaces. A numerical experiment is also included to explain the effectiveness of the proposed methods. The results of this paper are interesting extensions of those known results.

  • Keywords

quasi-nonexpansive mapping, hybrid algorithm, strong convergence, Hilbert space

  • AMS Subject Headings

47H05, 47H09, 47H10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yadxgaoxinghui@163.com (Xinghui Gao)

  • BibTex
  • RIS
  • TXT
@Article{CMR-33-340, author = {Gao , Xinghui and Ma , Lerong}, title = {A New Hybrid Algorithm and Its Numerical Realization for a Quasi-Nonexpansive Mapping}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {4}, pages = {340--346}, abstract = {

The purpose of this article is to propose a new hybrid projection method for a quasi-nonexpansive mapping. The strong convergence of the algorithm is proved in real Hilbert spaces. A numerical experiment is also included to explain the effectiveness of the proposed methods. The results of this paper are interesting extensions of those known results.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.04.06}, url = {http://global-sci.org/intro/article_detail/cmr/13414.html} }
TY - JOUR T1 - A New Hybrid Algorithm and Its Numerical Realization for a Quasi-Nonexpansive Mapping AU - Gao , Xinghui AU - Ma , Lerong JO - Communications in Mathematical Research VL - 4 SP - 340 EP - 346 PY - 2019 DA - 2019/11 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.04.06 UR - https://global-sci.org/intro/article_detail/cmr/13414.html KW - quasi-nonexpansive mapping, hybrid algorithm, strong convergence, Hilbert space AB -

The purpose of this article is to propose a new hybrid projection method for a quasi-nonexpansive mapping. The strong convergence of the algorithm is proved in real Hilbert spaces. A numerical experiment is also included to explain the effectiveness of the proposed methods. The results of this paper are interesting extensions of those known results.

Gao , Xinghui and Ma , Lerong. (2019). A New Hybrid Algorithm and Its Numerical Realization for a Quasi-Nonexpansive Mapping. Communications in Mathematical Research . 33 (4). 340-346. doi:10.13447/j.1674-5647.2017.04.06
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