in this paper, the notion of $psi -$weak contraction cite{rhoades} isextended to fuzzy metric spaces. the existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. our resultgeneralizes a result of gregori and sapena cite{gregori}.

Our argument relies on the well-known fact that Lipschitz maps from Euclidean space into metric spaces have metric derivatives almost everywhere, as proved by Kirchheim [Kir] and Korevaar-Schoen [KoSc] independently. We can combine the main result of [ChNi], a characterization of Gromov hyperbolicity via asymptotic cones [Dru], and Theorem 1.1 to obtain a partial generalization of Chatterji and...

‎In this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath  might be called their  definitive versions. Also, we show that there are examples which show that our main theorems are  genuine generalizations of Theorem 3.1 and 3.2 of [M.A. Miandaragh, M. Postolache and S. Rezapour,  {it Approximate fixed points of generalized convex contractions}, Fixed Poi...

and Applied Analysis 3 A partial metric space is a pair X, p such that X is a nonempty set and p is a partial metric on X. It is clear that, if p x, y 0, then from p1 and p2 x y. But if x y, p x, y may not be 0. Each partial metric p on X generates a T0 topology τp on X which has as a base the family of open p-balls {Bp x, ε : x ∈ X,ε > 0}, where Bp x, ε {y ∈ X : p x, y < p x, x ε} for all x ∈ ...

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].