About the Authors

Asifa Ilya

Roles Investigation

Affiliation Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, Pakistan

Muhammad Ashraf

Roles Project administration

Affiliation Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, Pakistan

Aamir Ali

Roles Investigation, Resources, Software, Validation, Writing – review & editing

Affiliation Department of Mathematics, COMSATS University Islamabad, Attock, Pakistan

Zahir Shah

Roles Conceptualization, Formal analysis, Methodology, Visualization, Writing – review & editing

poom.kum@kmutt.ac.th (PK); zahir1987@yahoo.com (ZS)

Affiliation Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, Khyber Pakhtunkhwa, Pakistan

Poom Kumam

Roles Funding acquisition, Investigation, Project administration, Resources, Supervision, Validation

poom.kum@kmutt.ac.th (PK); zahir1987@yahoo.com (ZS)

Affiliations Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thung Khru, Bangkok, Thailand, Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Phatiphat Thounthong

Roles Funding acquisition, Investigation, Project administration, Resources, Validation

Affiliation Department of Teacher Training in Electrical Engineering, Renewable Energy Research Centre, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok, Bangsue, Bangkok, Thailand

Competing Interests

The authors have declared that no competing interests exist.