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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jelena Vujaković & Gajula Naveen Venkata Kishore & Konduru Pandu Ranga Rao & Stojan Radenović & Shaik Sadik, 2019. "Existence and Unique Coupled Solution in S b -Metric Spaces by Rational Contraction with Application," Mathematics, MDPI, vol. 7(4), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:313-:d:217932
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    References listed on IDEAS

    as
    1. J. Harjani & B. López & K. Sadarangani, 2010. "A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-8, September.
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