An approach of Banach algebra in fuzzy metric spaces with an application

Saif Ur Rehman, Arjamand Bano, Hassen Aydi*, Choonkil Park*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The purpose of this paper is to present a new concept of a Banach algebra in a fuzzy metric space (FM-space). We define an open ball, an open set and prove that every open ball in an FM-space over a Banach algebra A is an open set. We present some more topological properties and a Hausdorff metric on FM-spaces over A. Moreover, we state and prove a fuzzy Banach contraction theorem on FM-spaces over a Banach algebra A. Furthermore, we present an application of an integral equation and will prove a result dealing with the integral operators in FM-spaces over a Banach algebra.

Original languageEnglish
Pages (from-to)9493-9507
Number of pages15
JournalAIMS Mathematics
Issue number5
Publication statusPublished - 2022
Externally publishedYes


  • Banach algebra A
  • Fixed point
  • Fuzzy metric space over A
  • Integral equation


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