Inertial algorithms with adaptive stepsizes for split variational inclusion problems and their applications to signal recovery problem

With the help of the Meir–Keeler contraction method and the Mann‐type method, two adaptive inertial iterative schemes are introduced for finding solutions of the split variational inclusion problem in Hilbert spaces. The strong convergence of the suggested algorithms is guaranteed by a new stepsize...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 47; no. 12; pp. 9431 - 9449
Main Authors Zhou, Zheng, Tan, Bing, Li, Songxiao
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 01.08.2024
Subjects
Adaptive algorithms
adaptive stepsize
Hilbert space
inertial method
Linear operators
Mann‐type method
Meir–Keeler contraction
Recovery
Signal reconstruction
signal recovery
split variational inclusion problem
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ISSN0170-4214
1099-1476
DOI10.1002/mma.9436

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Summary:With the help of the Meir–Keeler contraction method and the Mann‐type method, two adaptive inertial iterative schemes are introduced for finding solutions of the split variational inclusion problem in Hilbert spaces. The strong convergence of the suggested algorithms is guaranteed by a new stepsize criterion that does not require calculation of the bounded linear operator norm. Some numerical experiments and applications in signal recovery problems are given to demonstrate the efficiency of the proposed algorithms.
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ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9436