Common fixed points of self maps satisfying an integral type contractive condition in fuzzy metric spaces

Murthy P. P., Kumar S., TAŞ K.

Mathematical Communications, vol.15, no.2, pp.521-537, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 2
  • Publication Date: 2010
  • Journal Name: Mathematical Communications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.521-537
  • Keywords: Any kind of weakly compatible, Common fixed point, Compatible map, Weakly compatible maps
  • Uşak University Affiliated: No

Abstract

In this paper, first we prove fixed point theorems for different variant of compatible maps, satisfying a contractive condition of integral type in fuzzy metric spaces, which improve the results of Branciari [2], Rhoades [33], Kumar et al. [23], Subramanyam [35] and results of various authors cited in the literature of "Fixed Point Theory and Applications". Secondly, we introduce the notion of any kind of weakly compatible maps and prove a fixed point theorem for weakly compatible maps along with the notion of any kind of weakly compatible. At the end, we prove a fixed point theorem using variants of R-Weakly commuting mappings in fuzzy metric spaces. ©2010 Department of Mathematics, University of Osijek.