Fixed points of contractive mappings in intuitionistic fuzzy metric spaces

Kutukcu S., Yildiz C., Turkoglu D.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, vol.9, no.2, pp.181-193, 2007 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 2
  • Publication Date: 2007
  • Journal Name: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.181-193
  • Keywords: intuitiouistic fuzzy contractive mapping, mutually contractive mapping, complete intuitionistic fuzzy metric space, intuitionistic fuzzy contractive sequence, SETS
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we define intuitionistic fuzzy contractive mappings and mutually contractive mappings on intuitionistic fuzzy metric spaces. We also establish an intuitionistic fuzzy form of the Banach fixed point theorem and a unique common fixed point theorem for such mappings.