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Some New Results for Jaggi- W -Contraction-Type Mappings on b-Metric-like Spaces

Author

Listed:
  • Slobodanka Mitrović

    (Faculty of Forestry, University of Belgrade, Kneza Višeslava 1, 11000 Beograd, Serbia)

  • Vahid Parvaneh

    (Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran)

  • Manuel De La Sen

    (Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Spain)

  • Jelena Vujaković

    (Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Lole Ribara 29, 38220 Kosovska Mitrovica, Serbia)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia)

Abstract

In this article, we generalize, improve, unify and enrich some results for Jaggi- W -contraction-type mappings in the framework of b-metric-like spaces. Our results supplement numerous methods in the existing literature, and we created new approach to prove that a Picard sequence is Cauchy in a b-metric-like space. Among other things, we prove Wardowski’s theorem, but now by using only the property ( W 1). Our proofs in this article are much shorter than ones in recently published papers.

Suggested Citation

  • Slobodanka Mitrović & Vahid Parvaneh & Manuel De La Sen & Jelena Vujaković & Stojan Radenović, 2021. "Some New Results for Jaggi- W -Contraction-Type Mappings on b-Metric-like Spaces," Mathematics, MDPI, vol. 9(16), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1921-:d:613322
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    References listed on IDEAS

    as
    1. Muhammad Usman Ali & Tayyab Kamran & Wutiphol Sintunavarat & Phayap Katchang, 2013. "Mizoguchi-Takahashi’s Fixed Point Theorem with , Functions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-4, December.
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