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Some Results on ( s − q )-Graphic Contraction Mappings in b -Metric-Like Spaces

Author

Listed:
  • Manuel De la Sen

    (Institute of Research and Development of Porocesses, University of the Basque, 48080 Bilbao, Spain)

  • Nebojša Nikolić

    (Faculty of Organizational Sciences, University of Belgrade, 11000 Belgrade, Serbia)

  • Tatjana Došenović

    (Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, 21000 Novi Sad, Serbia)

  • Mirjana Pavlović

    (Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34000 Kragujeva, Serbia)

  • Stojan Radenović

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

Abstract

In this paper we consider ( s − q ) -graphic contraction mapping in b -metric like spaces. By using our new approach for the proof that a Picard sequence is Cauchy in the context of b -metric-like space, our results generalize, improve and complement several approaches in the existing literature. Moreover, some examples are presented here to illustrate the usability of the obtained theoretical results.

Suggested Citation

  • Manuel De la Sen & Nebojša Nikolić & Tatjana Došenović & Mirjana Pavlović & Stojan Radenović, 2019. "Some Results on ( s − q )-Graphic Contraction Mappings in b -Metric-Like Spaces," Mathematics, MDPI, vol. 7(12), pages 1-10, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1190-:d:294127
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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.
    2. Jelena Vujaković & Hassen Aydi & Stojan Radenović & Aiman Mukheimer, 2019. "Some Remarks and New Results in Ordered Partial b -Metric Spaces," Mathematics, MDPI, vol. 7(4), pages 1-10, April.
    Full references (including those not matched with items on IDEAS)

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