Generalized contraction theorems approach to fuzzy differential equations in fuzzy metric spaces

Generalized contraction theorems approach to fuzzy differential equations in fuzzy metric spaces

Fixed point theory is one of the most interesting areas of research in mathematics. In this direction, we study some unique common fixed point results for a pair of self-mappings without continuity on fuzzy metric spaces under the generalized contraction conditions by using “the triangular property...

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Bibliographic Details
Main Authors: Abdeljawad, T. (Author), Khan, S.U (Author), Mlaiki, N. (Author), Rehman, S.U (Author), Sattar, M. (Author), Shamas, I. (Author)
Format: Article
Language:English
Published: American Institute of Mathematical Sciences 2022
Subjects:
common fixed point
contraction conditions
fixed point
fuzzy differential equations
fuzzy metric space
Online Access:View Fulltext in Publisher
Description
Summary:Fixed point theory is one of the most interesting areas of research in mathematics. In this direction, we study some unique common fixed point results for a pair of self-mappings without continuity on fuzzy metric spaces under the generalized contraction conditions by using “the triangular property of fuzzy metric”. Moreover, we present weak-contraction and generalized Ćirić-contraction theorems. The results are supported by suitable examples. Further, we establish a supportable application of the fuzzy differential equations to ensure the existence of a unique common solution to validate our main work. © 2022 the Author(s), licensee AIMS Press.
ISBN:24736988 (ISSN)
DOI:10.3934/math.2022628

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