A Solution of Fredholm Integral Inclusions via Suzuki-Type Fuzzy Contractions

In this study, we introduce fuzzy weak ϕ-contraction and Suzuki-type fuzzy weak ϕ-contraction and employ these to prove some fuzzy fixed point results for fuzzy mappings in the setting of metric spaces, which is followed by an example to support our claim. Next, we deduce some corollaries and fixed...

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Bibliographic Details
Published in:Mathematical problems in engineering 2021, Vol.2021, p.1-8
Main Authors: Uddin, Izhar, Perveen, Atiya, Işık, Hüseyin, Bhardwaj, Ramakant
Format: Article
Language:English
Subjects:
Engineering
Fuzzy sets
Inclusions
Inequality
Integrals
Metric space
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Summary:In this study, we introduce fuzzy weak ϕ-contraction and Suzuki-type fuzzy weak ϕ-contraction and employ these to prove some fuzzy fixed point results for fuzzy mappings in the setting of metric spaces, which is followed by an example to support our claim. Next, we deduce some corollaries and fixed point results for multivalued mappings from our main result. Finally, as an application of our result, we provide the existence of a solution for a Fredholm integral inclusion.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/6579405