in this paper, we introduce the (g-$psi$) contraction in a metric space by using a graph.let $f,t$ be two multivalued mappings on $x.$ among other things, we obtain a common fixedpoint of the mappings $f,t$ in the metric space $x$ endowed with a graph $g.$

We prove some common coupled fixed point theorems for contractive mappings in fuzzy metric spaces under geometrically convergent t-norms.

In this paper, we define the modular space Z σ (s, p) by using the Zweier operator and a modular. Then, we consider it equipped with the Luxemburg norm and also examine the uniform Opial property and property β. Finally, we show that this space has the fixed point property.

Common fixed point theorems for the class of four non compatible mappings in fuzzy metric spaces are proved. These results are proved without exploiting the notion of continuity and without imposing any condition on t-norm.

In this paper we prove a common fixed point theorem for compatible maps of type (β) on fuzzy metric spaces with arbitrary continuous t-norm.

In the present paper, a partial order on a non- Archimedean fuzzymetric space under the  Lukasiewicz t-norm is introduced and fixed point theoremsfor single and multivalued mappings are proved.