Research article

On solution of Fredholm integral equations via fuzzy $ b $-metric spaces using triangular property

  • Received: 07 February 2022 Revised: 07 February 2022 Accepted: 31 March 2022 Published: 08 April 2022
  • MSC : 54H25, 47H10

  • In the present paper, we prove common fixed point without continuity by using triangular property on fuzzy $ b $-metric space. Our results generalize and expand some of the literature's well-known results. We also explore some of the application of our key results to Fredholm integral equation.

    Citation: Gunaseelan Mani, Arul Joseph Gnanaprakasam, Absar Ul Haq, Imran Abbas Baloch, Choonkil Park. On solution of Fredholm integral equations via fuzzy $ b $-metric spaces using triangular property[J]. AIMS Mathematics, 2022, 7(6): 11102-11118. doi: 10.3934/math.2022620

    Related Papers:

  • In the present paper, we prove common fixed point without continuity by using triangular property on fuzzy $ b $-metric space. Our results generalize and expand some of the literature's well-known results. We also explore some of the application of our key results to Fredholm integral equation.



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    [9] I. Shamas, S. U. Rehman, H. Aydi, T. Mahmood, E. Ameer, Unique fixed-point results in fuzzy metric spaces with an application to fredholm integral equations, J. Funct. Spaces, 2021 (2021), 4429173. https://doi.org/10.1155/2021/4429173 doi: 10.1155/2021/4429173
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