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New Fuzzy Fixed Point Results With Related Applications

Author

Listed:
  • Mohammed Shehu Shagari

    (Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria)

  • Aliyu Ibrahim Fulatan

    (Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria)

Abstract

In this paper, two renowned fixed point results which belong to Presic and Heilpern in the context of metric and fuzzy fixed point theory are revisited. To this end, we initiate the study of Heilpern–Presic type fuzzy fixed point results through some generalized weakly contractive conditions in the framework of b-metric spaces. A few counterparts of our results in the setting of multi-valued and single-valued mappings are noted and discussed. A nontrivial example is provided to validate the assertions of our theorems. Moreover, stability conditions of Presic type fuzzy set-valued maps are introduced and global attractivity result for a class of nonlinear matrix difference equations is also obtained as one of the applications of our results. The presented ideas herein complement and extend several significant results in the comparable literature.

Suggested Citation

  • Mohammed Shehu Shagari & Aliyu Ibrahim Fulatan, 2021. "New Fuzzy Fixed Point Results With Related Applications," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 529-552, November.
    • Handle: RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s1793005721500265
    DOI: 10.1142/S1793005721500265
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