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An inertial Halpern-type algorithm involving monotone operators on real Banach spaces with application to image recovery problems.
- Source :
- Computational & Applied Mathematics; Dec2022, Vol. 41 Issue 8, p1-15, 15p
- Publication Year :
- 2022
-
Abstract
- In this work, an inertial Halpern-type algorithm involving monotone operators is proposed in the setting of real Banach spaces that are 2-uniformly convex and uniformly smooth. Strong convergence of the iterates generated by the algorithm is proved to a zero of sum of two monotone operators. Furthermore, an application of the method to image recovery problems is presented. In addition, a numerical example on the classical Banach space l 3 2 (R) is presented to support the main theorem. Finally, the performance of the proposed algorithm is compared with that of some existing algorithms in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- BANACH spaces
MONOTONE operators
ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 01018205
- Volume :
- 41
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 160307271
- Full Text :
- https://doi.org/10.1007/s40314-022-02064-1