Urysohn’s lemma, gluing lemma and contraction$^*$ mapping theorem for fuzzy metric spaces

Urysohn’s Lemma, Gluing Lemma and Contraction Mapping Theorem for Fuzzy Metric Spaces

In this paper the concept of a fuzzy contraction mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction mapping on a complete fuzzy metric space has a unique fixed point.

A Contraction Theorem in Fuzzy Metric Spaces

After Zadeh pioneering’s paper [15], where the Theory of Fuzzy Sets was introduced, hundreds of examples have been supplied where the nature of uncertainty in the behavior of a given system possesses fuzzy rather than stochastic nature. Non-stationary fuzzy systems described by fuzzy processes look as their natural extension into the time domina. From different viewpoints they were carefully st...

A TRANSLATION THEOREM 1 Lemma

A RELATED FIXED POINT THEOREM IN n FUZZY METRIC SPACES

We prove a related fixed point theorem for n mappings which arenot necessarily continuous in n fuzzy metric spaces using an implicit relationone of them is a sequentially compact fuzzy metric space which generalizeresults of Aliouche, et al. [2], Rao et al. [14] and [15].

FIXED POINT THEOREM ON INTUITIONISTIC FUZZY METRIC SPACES

In this paper, we introduce intuitionistic fuzzy contraction mappingand prove a fixed point theorem in intuitionistic fuzzy metric spaces.