On solving split variational inclusion problems with multi-inertial extrapolation and applications
Authors
S. Kesornprom
- Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand.
- Office of Research Administration, Chiang Mai University, Chiang Mai 50200, Thailand.
P. Inkrong
- School of Science, University of Phayao, Phayao 56000, Thailand.
P. Paimsang
- School of Science, University of Phayao, Phayao 56000, Thailand.
N. Pholasa
- School of Science, University of Phayao, Phayao 56000, Thailand.
P. Cholamjiak
- School of Science, University of Phayao, Phayao 56000, Thailand.
Abstract
In this study, we address split variational inclusion problems in Hilbert spaces and introduce a new algorithm that combines multi-inertial extrapolation with a self-adaptive stepsize technique. The method is designed to enhance convergence performance while relaxing typical parameter constraints. Under suitable assumptions, we establish a weak convergence theorem. To validate the effectiveness of the approach, we apply it to real-world problems in image restoration and medical data classification.
\begin{keyword}Split variational inclusion problems \sep multi-inertial extrapolation \sep weak convergence \sep image restoration \sep data classification.
\MSC{47H09 \sep 47H10 \sep 47J05 \sep 47J25 \sep 49J40 \sep 35A15
Share and Cite
ISRP Style
S. Kesornprom, P. Inkrong, P. Paimsang, N. Pholasa, P. Cholamjiak, On solving split variational inclusion problems with multi-inertial extrapolation and applications, Journal of Mathematics and Computer Science, 41 (2026), no. 3, 347--364
AMA Style
Kesornprom S., Inkrong P., Paimsang P., Pholasa N., Cholamjiak P., On solving split variational inclusion problems with multi-inertial extrapolation and applications. J Math Comput SCI-JM. (2026); 41(3):347--364
Chicago/Turabian Style
Kesornprom, S., Inkrong, P., Paimsang, P., Pholasa, N., Cholamjiak, P.. "On solving split variational inclusion problems with multi-inertial extrapolation and applications." Journal of Mathematics and Computer Science, 41, no. 3 (2026): 347--364
Keywords
- Split variational inclusion problems
- multi-inertial extrapolation
- weak convergence
- image restoration
- data classification
MSC
- 47H09
- 47H10
- 47J05
- 47J25
- 49J40
- 35A15
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