Fixed Point Results for Compatible Mappings in Extended Parametric S b -Metric Spaces

Sunil Beniwal, Naveen Mani, Rahul Shukla () and Amit Sharma
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Sunil Beniwal: Department of Mathematics, Chandigarh University, Mohali 140413, Punjab, India
Naveen Mani: Department of Mathematics, Chandigarh University, Mohali 140413, Punjab, India
Rahul Shukla: Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa
Amit Sharma: Department of Mathematics, Amity University Haryana, Gurugram 122413, Haryana, India

Mathematics, 2024, vol. 12, issue 10, 1-20

Abstract: This study aims to establish common fixed point theorems for a pair of compatible self-mappings within the framework of extended parametric S b -metric spaces. To support our assertions, we provide corollaries and examples accompanied with graphical representations. Moreover, we leverage our principal outcome to guarantee the existence of a common solution to a system of integral equations.

Keywords: compatible; parametric; S b -metric spaces; common fixed point; pair of mappings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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