Strong convergence of a modified extragradient algorithm to solve pseudomonotone equilibrium and application to classification of diabetes mellitus

This work studies pseudomonotone equilibrium problems. The modified inertial viscosity subgradient extragradient is proposed for obtaining strong convergence, and it is proved under the assumption that the bifunction satisfies the Lipchitz-type condition. Flexible use of different stepsize parameter...

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Bibliographic Details
Published in:Chaos, solitons and fractals Vol. 168; p. 113108
Main Authors: Cholamjiak, Watcharaporn, Suparatulatorn, Raweerote
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.03.2023
Subjects:
Data classification problem
Pseudomonotone equilibrium problem
Strong convergence
Subgradient extragradient algorithm
65K15
Strong convergence
Data classification problem
49M37
Subgradient extragradient algorithm
47H05
Pseudomonotone equilibrium problem
ISSN:0960-0779
Online Access:Get full text
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Summary:This work studies pseudomonotone equilibrium problems. The modified inertial viscosity subgradient extragradient is proposed for obtaining strong convergence, and it is proved under the assumption that the bifunction satisfies the Lipchitz-type condition. Flexible use of different stepsize parameters is offered. Moreover, the proposed algorithm is applied to solve diabetes mellitus classification problems. The algorithm’s efficiency is shown by comparing with many existing methods with 80.3% high accuracy. The training-validation loss and accuracy plots are presented to consider our good model fitting. •The paper proposed an algorithm for solving pseudomonotone equilibrium problems.•The strong convergence result has been established subject to certain conditions.•Predict diabetes mellitus through the proposed algorithm by ELM.•The algorithm’s effectiveness is up to 80.3% accuracy.
ISSN:0960-0779
DOI:10.1016/j.chaos.2023.113108