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An inertially constructed forward–backward splitting algorithm in Hilbert spaces.
- Source :
-
Advances in Difference Equations . 2/24/2021, Vol. 2021 Issue 1, p1-23. 23p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FORWARD-backward algorithm
*HILBERT space
*MONOTONE operators
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2021
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 148949923
- Full Text :
- https://doi.org/10.1186/s13662-021-03277-0