Back to Search
Start Over
An accelerated hybrid projection method with a self‐adaptive step‐size sequence for solving split common fixed point problems
- Source :
- Mathematical Methods in the Applied Sciences. 44:7294-7303
- Publication Year :
- 2021
- Publisher :
- Wiley, 2021.
-
Abstract
- This paper attempts to focus on the split common fixed point problem for demicontractive mappings. We give an accelerated hybrid projection algorithm which combines the hybrid projection method and the inertial technique. The strong convergence theorems of this algorithm are obtained under mild conditions by a self-adaptive step-size sequence, which does not need prior knowledge of operator norms. Some numerical experiments in infinite Hilbert space are provided to illustrate the reliability and robustness of the algorithm and also to compare it with existin
- Subjects :
- Sequence
General Mathematics
010102 general mathematics
General Engineering
Hilbert space
01 natural sciences
010101 applied mathematics
symbols.namesake
Operator (computer programming)
Robustness (computer science)
Convergence (routing)
Projection method
symbols
0101 mathematics
Focus (optics)
Algorithm
Dykstra's projection algorithm
Mathematics
Subjects
Details
- ISSN :
- 10991476 and 01704214
- Volume :
- 44
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........fa497e6ee41f7da375be139de48c88f5