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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

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 = {Xinghui and Gao and yadxgaoxinghui@163.com and 5491 and College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi, 716000 and Xinghui Gao and Lerong and Ma and and 5513 and College of Mathematics and Computer Science, Yan’an University, Yan’an, Shaanxi, 716000 and Lerong Ma}, 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.

Xinghui Gao & Lerong Ma. (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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