Open AccessOn 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.