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}.

The purpose of this paper is to introduce the new iteration process approximate endpoints multivalued nonexpansive mappings in Banach space. We prove weak and strong convergence theorems proposed iterative scheme under some suitable assumptions framework a uniformly convex

In this article, we are interested in a new generic class of nonlocal fractional impulsive differential inclusions with linear sectorial operator and Lipschitz multivalued function the setting finite dimensional Banach spaces. By modifying definition PC-mild solutions initiated by Shu, succeeded to determine conditions that sufficiently guarantee existence solutions. The results obtained combin...

Standard topological contexts are a valuable tool in representing several classes of ordered algebraic structures. While investigating Contextual Topology, pseudometric contexts were introduced as a tool in approximating objects by their attributes. Here we describe the interaction between these two classes, i.e., pseudometric contexts and standard topological contexts, pointing out whether the...

The purpose of this note is to give a natural approach to the extensions of the Banach Contraction Principle in metric spaces endowed with a partial order, a directed graph or a binary relation in terms of extended quasi-metric. This novel approach is new and may open the door to other new fixed point theorems. The case of multivalued mappings is also discussed and an analogue result to Nadler’...