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Convergence analysis of the Halpern iteration with adaptive anchoring parameters.
- Source :
-
Mathematics of Computation . Jan2024, Vol. 93 Issue 345, p327-345. 19p. - Publication Year :
- 2024
-
Abstract
- We propose an adaptive way to choose the anchoring parameters for the Halpern iteration to find a fixed point of a nonexpansive mapping in a real Hilbert space. We prove strong convergence of this adaptive Halpern iteration and obtain the rate of asymptotic regularity at least O(1/k), where k is the number of iterations. Numerical experiments are also provided to show advantages and outperformance of our adaptive Halpern algorithm over the standard Halpern algorithm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HILBERT space
Subjects
Details
- Language :
- English
- ISSN :
- 00255718
- Volume :
- 93
- Issue :
- 345
- Database :
- Academic Search Index
- Journal :
- Mathematics of Computation
- Publication Type :
- Academic Journal
- Accession number :
- 172987092
- Full Text :
- https://doi.org/10.1090/mcom/3851