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Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces

Author

Listed:
  • Dušan Rakić

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

  • Tatjana Došenović

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

  • Zoran D. Mitrović

    (Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
    Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam)

  • Manuel de la Sen

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

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade 35, Serbia)

Abstract

The main aim of the current paper is the investigation of possibilities for improvements and generalizations contractive condition of Ćirić in the fuzzy metric spaces. Various versions of fuzzy contractive conditions are studied in two directions. First, motivated by recent results, more general contractive conditions in fuzzy metric spaces are achieved and secondly, quasi-contractive type of mappings are investigated in order to obtain fixed point results with a wider class of t -norms.

Suggested Citation

  • Dušan Rakić & Tatjana Došenović & Zoran D. Mitrović & Manuel de la Sen & Stojan Radenović, 2020. "Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces," Mathematics, MDPI, vol. 8(2), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:297-:d:323571
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    References listed on IDEAS

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    1. Weiquan Zhang & Dong Qiu & Zhifeng Li & Gangqiang Xiong, 2012. "Common Fixed Point Theorems in a New Fuzzy Metric Space," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, February.
    2. El Naschie, M.S., 2005. "The two-slit experiment as the foundation of E-infinity of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 509-514.
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    Cited by:

    1. Gunaseelan Mani & Arul Joseph Gnanaprakasam & Liliana Guran & Reny George & Zoran D. Mitrović, 2023. "Some Results in Fuzzy b -Metric Space with b -Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming," Mathematics, MDPI, vol. 11(19), pages 1-17, September.
    2. Shazia Kanwal & Akbar Azam & Muhammad Gulzar & Gustavo Santos-García, 2022. "A Fixed Point Approach to Lattice Fuzzy Set via F-Contraction," Mathematics, MDPI, vol. 10(19), pages 1-15, October.

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