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On Some Recent Results Concerning F -Suzuki-Contractions in b-Metric Spaces

Author

Listed:
  • Ersin Gilić

    (Department of Mathematics, State University of Novi Pazar Vuka Karadžića bb, 36300 Novi Pazar, Serbia)

  • Diana Dolićanin-Đekić

    (Department of Mathematics, State University of Novi Pazar Vuka Karadžića bb, 36300 Novi Pazar, Serbia
    Faculty of Technical Sciences, Kneza Miloša 7, 38220 Kosovska Mitrovica, Serbia)

  • Zoran D. Mitrović

    (Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
    Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam)

  • Dženis Pučić

    (Department of Mathematics, State University of Novi Pazar Vuka Karadžića bb, 36300 Novi Pazar, Serbia)

  • Hassen Aydi

    (Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
    China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

Abstract

The purpose of this manuscript is to provide much simpler and shorter proofs of some recent significant results in the context of generalized F-Suzuki-contraction mappings in b-complete b-metric spaces. By using our new approach for the proof that a Picard sequence is b-Cauchy, our results generalize, complement and improve many known results in the existing literature. Further, some new contractive conditions are provided here to illustrate the usability of the obtained theoretical results.

Suggested Citation

  • Ersin Gilić & Diana Dolićanin-Đekić & Zoran D. Mitrović & Dženis Pučić & Hassen Aydi, 2020. "On Some Recent Results Concerning F -Suzuki-Contractions in b-Metric Spaces," Mathematics, MDPI, vol. 8(6), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:940-:d:368719
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    References listed on IDEAS

    as
    1. 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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