Advances in Fuzzy Mathematics
  • Year: 2007
  • Volume: 2
  • Issue: 1&2

Fixed points in theorems in fuzzy metric space

  • Author:
  • R.P. Pant, Vyomesh Pant
  • Total Page Count: 10
  • Page Number: 41 to 50

Department of Mathematics, Kumaon University, D.S.B. Campus, Nainital - 263 002, INDIA.

*Corresponding Author: E-mail: vyomeshpant@yahoo.co.in

Abstract

In the present paper we obtain fixed point theorems in a fuzzy metric space by formulating and employing an (ε, δ) contractive condition. Our results give proper generalizations of recent results due to Chugh and Kumar [5] and Vasuki [18], fuzzify several well known fixed point theorems, and initiate the application of (ε, δ) technique for investigating fixed points of mappings in fuzzy metric spaces.

Keywords

Fuzzy Metric Space, Compatible maps, Common Fixed Point, R-weak commuting maps, (ε, δ) contractive condition