A double inertial embedded Ishikawa algorithm for two nonexpansive mappings applies to breast cancer detection

Volume 38, Issue 1, pp 111--124 https://dx.doi.org/10.22436/jmcs.038.01.08
Publication Date: November 29, 2024 Submission Date: July 15, 2024 Revision Date: August 27, 2024 Accteptance Date: October 11, 2024

Authors

P. Nabheerong - Department of Radiology, School of Medicine, University of Phayao, Phayao 56000, Thailand. W. Kiththiworaphongkich - Department of Radiology, Phayao Hospital, Phayao 56000, Thailand. W. Cholamjiak - Department of Mathematics, School of Science, University of Phayao, ‎Phayao 56000, Thailand.


Abstract

Breast cancer remains a major health challenge worldwide, with early detection being crucial for enhancing treatment outcomes and prolonging life. This study introduces innovative machine learning techniques aimed at advancing breast cancer screening models. Specifically, we propose a double inertial embedded Ishikawa algorithm that enhances the traditional Ishikawa algorithm with a double inertial technique for two distinct nonexpansive mappings. We establish a weak convergence theorem in Hilbert spaces, utilizing relaxed real number extrapolation parameters. An example in an infinite-dimensional space corroborates our theoretical findings. The practical application of this algorithm is demonstrated using a real dataset from Phayao Hospital in Northern Thailand, supplemented by data from the UCI website, within an Extreme Learning Machine framework for efficient prediction. Achieving an accuracy of 88.57\%, our algorithm outperforms the well-known FISTA algorithms, highlighting its potential for improving breast cancer diagnostic protocols and outcomes.


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ISRP Style

P. Nabheerong, W. Kiththiworaphongkich, W. Cholamjiak, A double inertial embedded Ishikawa algorithm for two nonexpansive mappings applies to breast cancer detection, Journal of Mathematics and Computer Science, 38 (2025), no. 1, 111--124

AMA Style

Nabheerong P., Kiththiworaphongkich W., Cholamjiak W., A double inertial embedded Ishikawa algorithm for two nonexpansive mappings applies to breast cancer detection. J Math Comput SCI-JM. (2025); 38(1):111--124

Chicago/Turabian Style

Nabheerong, P., Kiththiworaphongkich, W., Cholamjiak, W.. "A double inertial embedded Ishikawa algorithm for two nonexpansive mappings applies to breast cancer detection." Journal of Mathematics and Computer Science, 38, no. 1 (2025): 111--124


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