Fixed point iterative algorithm with double inertial steps for solving data classification problems
Authors
P. Sunthrayuth
- Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), 39 Moo 1, Klong 6, Khlong Luang, Pathum Thani 12120, Thailand.
- AI-Powered Digital Platform Research Unit, Rajamangala University of Technology Thanyaburi (RMUTT), 39 Moo 1, Klong 6, Khlong Luang, Pathum Thani 12120, Thailand.
K. Muangchoo
- Faculty of Science and Technology, Rajamangala University of Technology Phra Nakhon (RMUTP), 1381, Pracharat 1 Road, Wongsawang, Bang Sue, Bangkok 10800, Thailand.
W. Nithiarayaphaks
- Faculty of Science and Technology, Rajamangala University of Technology Phra Nakhon (RMUTP), 1381, Pracharat 1 Road, Wongsawang, Bang Sue, Bangkok 10800, Thailand.
I Siramaneerat
- Department of Social Science, Faculty of Liberal Arts, Rajamangala University of Technology Thanyaburi (RMUTT), 39 Moo 1, Klong 6, Khlong Luang, Pathum Thani 12120, Thailand.
Abstract
The aim of this paper is to propose Krasnosel'skii-Mann type iteration with double inertial steps for approximating fixed points
of nonexpansive mappings in real Hilbert spaces. The weak convergence is proved under some suitable conditions of the parameters. Some applications to the problems of finding a common fixed point of a family of mappings are also given. Finally, several numerical experiments to show the efficiency and accuracy of our method in breast and cervical cancer diseases predictions are presented.
Share and Cite
ISRP Style
P. Sunthrayuth, K. Muangchoo, W. Nithiarayaphaks, I Siramaneerat, Fixed point iterative algorithm with double inertial steps for solving data classification problems, Journal of Mathematics and Computer Science, 41 (2026), no. 1, 58--81
AMA Style
Sunthrayuth P., Muangchoo K., Nithiarayaphaks W., Siramaneerat I, Fixed point iterative algorithm with double inertial steps for solving data classification problems. J Math Comput SCI-JM. (2026); 41(1):58--81
Chicago/Turabian Style
Sunthrayuth, P., Muangchoo, K., Nithiarayaphaks, W., Siramaneerat, I. "Fixed point iterative algorithm with double inertial steps for solving data classification problems." Journal of Mathematics and Computer Science, 41, no. 1 (2026): 58--81
Keywords
- Fixed point
- nonexpansive mapping
- Hilbert space
- weak convergence
- data classification problem
MSC
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