Common fixed point theorem for the R-weakly commuting mappings in M-fuzzy metric spaces

Hassanzadeh Z., Sedghi S., Kim J. K.

Nonlinear Functional Analysis and Applications, vol.23, no.4, pp.629-641, 2018 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 4
  • Publication Date: 2018
  • Journal Name: Nonlinear Functional Analysis and Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.629-641
  • Keywords: Common fixed point theorem, Complete fuzzy metric space, Contractive mapping, Fuzzy contractive mapping, M-fuzzy metric space, R-weakly commuting self-mappings, Sequentially convergent
  • Istanbul Gelisim University Affiliated: No

Abstract

In this paper we prove common fixed point theorems for two mappings under the condition of R-weakly commuting complete M-fuzzy metric spaces. A lot of fixed point theorems on ordinary metric spaces are special cases of our main result.