A bi-inertial Mann projective forward-backward splitting algorithm for variational inclusion problems with application to lung cancer screening

Volume 38, Issue 2, pp 201--213 https://dx.doi.org/10.22436/jmcs.038.02.04
Publication Date: December 13, 2024 Submission Date: July 27, 2024 Revision Date: September 08, 2024 Accteptance Date: October 23, 2024

Authors

P. Peeyada - School of Science, University of Phayao, Phayao 56000, Phayao 56000, Thailand. W. Cholamjiak - School of Science, University of Phayao, ‎Phayao 56000, Thailand. K. Shiangjen - School of Information and Communication Technology, University of Phayao, Phayao 56000, Thailand.


Abstract

This paper proposes a bi-inertial Mann projective forward-backward splitting algorithm to solve the variational inclusion problem in real Hilbert spaces. We establish a weak convergence result under mild conditions commonly used in convergence analysis. Additionally, we present a series of numerical experiments to demonstrate the efficiency of our algorithm compared to existing methods. Finally, we applied our algorithm to classify data using the lung cancer dataset, achieving the highest testing accuracy of 90.32\%, surpassing other documented algorithms. Our results indicate that the proposed algorithm offers a practical solution for detecting lung cancer.


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ISRP Style

P. Peeyada, W. Cholamjiak, K. Shiangjen, A bi-inertial Mann projective forward-backward splitting algorithm for variational inclusion problems with application to lung cancer screening, Journal of Mathematics and Computer Science, 38 (2025), no. 2, 201--213

AMA Style

Peeyada P., Cholamjiak W., Shiangjen K., A bi-inertial Mann projective forward-backward splitting algorithm for variational inclusion problems with application to lung cancer screening. J Math Comput SCI-JM. (2025); 38(2):201--213

Chicago/Turabian Style

Peeyada, P., Cholamjiak, W., Shiangjen, K.. "A bi-inertial Mann projective forward-backward splitting algorithm for variational inclusion problems with application to lung cancer screening." Journal of Mathematics and Computer Science, 38, no. 2 (2025): 201--213


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