Some α−ϕ-Fuzzy Cone Contraction Results with Integral Type Application

In this paper, we define α-admissible and α-ϕ-fuzzy cone contraction in fuzzy cone metric space to prove some fixed point theorems. Some related sequences with contraction mappings have been discussed. Ultimately, our theoretical results have been utilized to show the existence of the solution to a...

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Bibliographic Details
Published inJournal of mathematics (Hidawi) Vol. 2021; pp. 1 - 15
Main Authors Rehman, Saif Ur, Jabeen, Shamoona, Khan, Sami Ullah, Jaradat, Mohammed M. M.
Format Journal Article
LanguageEnglish
Published Cairo Hindawi 2021
Hindawi Limited
Wiley
Subjects
Fixed points (mathematics)
Integral equations
Mathematics
Metric space
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Summary:In this paper, we define α-admissible and α-ϕ-fuzzy cone contraction in fuzzy cone metric space to prove some fixed point theorems. Some related sequences with contraction mappings have been discussed. Ultimately, our theoretical results have been utilized to show the existence of the solution to a nonlinear integral equation. This application is also illustrative of how fuzzy metric spaces can be used in other integral type operators.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/1566348