Bibliographic Details
| Title: |
An inertially constructed forward–backward splitting algorithm in Hilbert spaces |
| Authors: |
Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Parinya Sa Ngiamsunthorn, Attapol Kaewkhao |
| Source: |
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-23 (2021) |
| Publisher Information: |
SpringerOpen, 2021. |
| Publication Year: |
2021 |
| Collection: |
LCC:Mathematics |
| Subject Terms: |
Fixed point problem, Forward–backward splitting algorithm, Monotone inclusion problem, Split equilibrium problem, Demicontractive operator, Hilbert spaces, Mathematics, QA1-939 |
| Description: |
Abstract In this paper, we develop an iterative algorithm whose architecture comprises a modified version of the forward–backward splitting algorithm and the hybrid shrinking projection algorithm. We provide theoretical results concerning weak and strong convergence of the proposed algorithm towards a common solution of the fixed point problem associated to a finite family of demicontractive operators, the split equilibrium problem and the monotone inclusion problem in Hilbert spaces. Moreover, we compute a numerical experiment to show the efficiency of the proposed algorithm. As a consequence, our results improve various existing results in the current literature. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
1687-1847 |
| Relation: |
https://doaj.org/toc/1687-1847 |
| DOI: |
10.1186/s13662-021-03277-0 |
| Access URL: |
https://doaj.org/article/24a2e2ce4d084a5dbd8eef6b2be1d9f3 |
| Accession Number: |
edsdoj.24a2e2ce4d084a5dbd8eef6b2be1d9f3 |
| Database: |
Directory of Open Access Journals |
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