Common Fixed Point of Six Self Maps in Fuzzy Metric Space

Dharamvir Singh Vashisth, Raghu Nandan Patel, Manoj Kumar Tiwari

Abstract: In this paper, we introduce the concept of semi weakly compatibility of maps in fuzzy metric space and apply it to prove the results on existence of unique common fixed point of six self maps satisfying an implicit relation. The implicit relation used in this paper is similar but not the same as employed by Popa [8] in 2002. All the results of this paper are new/generalizations of the earlier results.

Keywords: Fuzzy metric space, Compatible Mappings, semi-compatibility, semi weakly compatibility, Common fixed point