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

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 Learnin...

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Main Authors: Krittin Naravejsakul, Pasa Sukson, Waragunt Waratamrongpatai, Phatcharapon Udomluck, Mallika Khwanmuang, Watcharaporn Cholamjiak, Watcharapon Yajai
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/15/2352
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author Krittin Naravejsakul
Pasa Sukson
Waragunt Waratamrongpatai
Phatcharapon Udomluck
Mallika Khwanmuang
Watcharaporn Cholamjiak
Watcharapon Yajai
author_facet Krittin Naravejsakul
Pasa Sukson
Waragunt Waratamrongpatai
Phatcharapon Udomluck
Mallika Khwanmuang
Watcharaporn Cholamjiak
Watcharapon Yajai
author_sort Krittin Naravejsakul
collection DOAJ
description 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.
format Article
id doaj-art-62b04f8882bd4bf4b35e506311069b95
institution Kabale University
issn 2227-7390
language English
publishDate 2025-07-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj-art-62b04f8882bd4bf4b35e506311069b952025-08-20T03:36:41ZengMDPI AGMathematics2227-73902025-07-011315235210.3390/math13152352A Double Inertial Mann-Type Method for Two Nonexpansive Mappings with Application to Urinary Tract Infection DiagnosisKrittin Naravejsakul0Pasa Sukson1Waragunt Waratamrongpatai2Phatcharapon Udomluck3Mallika Khwanmuang4Watcharaporn Cholamjiak5Watcharapon Yajai6School of Medicine, University of Phayao, Phayao 56000, ThailandSchool of Medicine, University of Phayao, Phayao 56000, ThailandSchool of Medicine, University of Phayao, Phayao 56000, ThailandSchool of Medicine, University of Phayao, Phayao 56000, ThailandSchool of Medicine, University of Phayao, Phayao 56000, ThailandDepartment of Mathematics, School of Science, University of Phayao, Phayao 56000, ThailandDepartment of Mathematics, School of Science, University of Phayao, Phayao 56000, ThailandThis 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.https://www.mdpi.com/2227-7390/13/15/2352mann algorithmfixed-point problemdouble inertial techniqueclassificationsplit-equilibrium problemsurinary tract infection
spellingShingle Krittin Naravejsakul
Pasa Sukson
Waragunt Waratamrongpatai
Phatcharapon Udomluck
Mallika Khwanmuang
Watcharaporn Cholamjiak
Watcharapon Yajai
A Double Inertial Mann-Type Method for Two Nonexpansive Mappings with Application to Urinary Tract Infection Diagnosis
Mathematics
mann algorithm
fixed-point problem
double inertial technique
classification
split-equilibrium problems
urinary tract infection
title A Double Inertial Mann-Type Method for Two Nonexpansive Mappings with Application to Urinary Tract Infection Diagnosis
title_full A Double Inertial Mann-Type Method for Two Nonexpansive Mappings with Application to Urinary Tract Infection Diagnosis
title_fullStr A Double Inertial Mann-Type Method for Two Nonexpansive Mappings with Application to Urinary Tract Infection Diagnosis
title_full_unstemmed A Double Inertial Mann-Type Method for Two Nonexpansive Mappings with Application to Urinary Tract Infection Diagnosis
title_short A Double Inertial Mann-Type Method for Two Nonexpansive Mappings with Application to Urinary Tract Infection Diagnosis
title_sort double inertial mann type method for two nonexpansive mappings with application to urinary tract infection diagnosis
topic mann algorithm
fixed-point problem
double inertial technique
classification
split-equilibrium problems
urinary tract infection
url https://www.mdpi.com/2227-7390/13/15/2352
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