A Double Inertial Mann-Type Method for Two Nonexpansive Mappings with Application to Urinary Tract Infection Diagnosis

Krittin Naravejsakul, Pasa Sukson, Waragunt Waratamrongpatai, Phatcharapon Udomluck, Mallika Khwanmuang, Watcharaporn Cholamjiak and Watcharapon Yajai ()
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Krittin Naravejsakul: School of Medicine, University of Phayao, Phayao 56000, Thailand
Pasa Sukson: School of Medicine, University of Phayao, Phayao 56000, Thailand
Waragunt Waratamrongpatai: School of Medicine, University of Phayao, Phayao 56000, Thailand
Phatcharapon Udomluck: School of Medicine, University of Phayao, Phayao 56000, Thailand
Mallika Khwanmuang: School of Medicine, University of Phayao, Phayao 56000, Thailand
Watcharaporn Cholamjiak: Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand
Watcharapon Yajai: Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand

Mathematics, 2025, vol. 13, issue 15, 1-20

Abstract: This study proposes a double inertial technique integrated with the Mann algorithm to address the fixed-point problem. Our method is further employed to tackle the split-equilibrium problem and perform classification using a urinary tract infection dataset in practical scenarios. The Extreme Learning Machine (ELM) model is utilized to categorize urinary tract infection cases based on both clinical and demographic features. It exhibits excellent precision and efficiency in differentiating infected from non-infected individuals. The results validate that the ELM provides a rapid and reliable method for handling classification tasks related to urinary tract infections.

Keywords: mann algorithm; fixed-point problem; double inertial technique; classification; split-equilibrium problems; urinary tract infection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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