International Journal of Computational and Applied Mathematics
  • Year: 2007
  • Volume: 2
  • Issue: 3

Category of fuzzy metric spaces and an application

  • Author:
  • Mohd. Rafi
  • Total Page Count: 9
  • Page Number: 237 to 245

School of Applied Mathematics, The University of Nottingham, Malaysia Campus, Jalan Broga, 43500, Semenyih Selangor Darul Ehsan, Malaysia. E-mail: Mohd.Rafi@nottingham.edu.my

Abstract

In this paper we introduce a category of fuzzy metric spaces FMS* with the objects are complete fuzzy metric spaces in the sense of Kramosil and Michalek and morphisms are ε-fuzzy adjoint pairs. As an application, we prove the existence of solution for fuzzy domain equation in category of fuzzy metric spaces.

Keywords

Category of fuzzy metric spaces, functors, fuzzy metric spaces, fixed point theorem