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

Gunaseelan Mani | Zendy; Arul Joseph Gnanaprakasam | Zendy; Absar Ul Haq | Zendy; Imran Abbas Baloch | Zendy; Choonkil Park | Zendy

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

Author(s) -

Gunaseelan Mani,

Arul Joseph Gnanaprakasam,

Absar Ul Haq,

Imran Abbas Baloch,

Choonkil Park

Publication year - 2022

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

ISSN - 2473-6988

DOI - 10.3934/math.2022620

Subject(s) - mathematics , fredholm integral equation , property (philosophy) , metric (unit) , fuzzy logic , pure mathematics , point (geometry) , fredholm theory , mathematical analysis , integral equation , key (lock) , metric space , space (punctuation) , computer science , geometry , artificial intelligence , philosophy , computer security , epistemology , operating system , operations management , economics

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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