Existence and Unique Coupled Solution in S b -Metric Spaces by Rational Contraction with Application

Jelena Vujaković, Gajula Naveen Venkata Kishore, Konduru Pandu Ranga Rao, Stojan Radenović and Shaik Sadik
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Jelena Vujaković: Faculty of Sciences and Mathematics, University of Priština, Lole Ribara 29, 38220 Kosovska Mitrovica, Serbia
Gajula Naveen Venkata Kishore: Department of Mathematics, SRKR Engineering College, Bhimavaram, West Godavari 534 204, India
Konduru Pandu Ranga Rao: Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur 522 510, India
Stojan Radenović: Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Shaik Sadik: Department of Mathematics, Sir C R R College of Engineering, Eluru, West Godhavari 534 007, India

Mathematics, 2019, vol. 7, issue 4, 1-14

Abstract: In this paper, we prove a unique common coupled fixed point theorem for two pairs of w -compatible mappings in S b -metric spaces. We also furnish an example to support our main result.

Keywords: S b -metric space; w -compatible pairs; S b -completeness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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