We generalize the Caristi’s fixed point theorem for single valued as well as multivalued mappings defined on a metric space endowed with a graph and w-distance. Particularly, we modify the concept of ...

Let (𝑋, d) be a metric space endowed with a graph 𝐺 such that the set 𝑉 (𝐺) of vertices of 𝐺 coincides with 𝑋. We define the notion of 𝐺-Bianchini maps and obtain a fixed point theorem for such ...