Fuzzy multi-metric spaces

EFE H., Alaca C., Yildiz C.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, vol.10, no.3, pp.367-375, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 3
  • Publication Date: 2008
  • Journal Name: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.367-375
  • Keywords: multi space, multi-metric space, triangular norm, fuzzy metric space
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

The purpose of this paper is to introduce the concept of fuzzy multi-metric space by combining Smarandache multi-spaces with fuzzy metric space. Also some characteristics of fuzzy multi-metric space are obtained. Furthermore, we extend the Banach fixed point theorem to (fuzzy) contractive mappings in fuzzy multi-metric spaces.