A Related Fixed Point Theorem in Two Fuzzy Metric Spaces

Abstract

Abstract. We prove a related fixed point theorem for two mappings in two fuzzy metric spaces using an implicit relation which gives fuzzy versions of theorems of [1], [2] and [10].

Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations

“…Gregori and Sapena [5], Imdad and Ali [6], Mihet [7,8], Bari and Vetro [9], and Som [10] proved some FP and common fixed point (CFP) theorems in FM spaces. Aliouche et al [11] and Rao et al [12] established some related FP in FM spaces.…”

Fixed point theorems for (ψ∘φ )-contractions in a fuzzy metric spaces

“…Later, further studies have been done by different authors in fuzzy metric spaces (see i.e. [1,2,3,16,11,19,20,21] ).…”

Fixed point theorems for fuzzy ψ – contractive mappings in fuzzy metric spaces

“…The notion of fuzzy metric space, introduced by Kramosil and Michalek [10] was modified by George and Veeramani [2,3] that obtained a Hausdorff topology for this class of fuzzy metric spaces. The fixed point theory in this kind of spaces has been intensively studied (see [1,5,7,[12][13][14][15][16][17]). Generally, this theory on fuzzy metric spaces is done for contractive or contractive-type mappings.…”