In this paper, we obtain the results of coincidence and common fixed points in b-metric spaces. We work with a new type multivalued quasi-contractive mapping nonlinear comparison functions. Our generalize improve several recent results. Additionally, give an application obtained to dynamical systems.

On the background of a brief survey panorama results on topic in title, one new theorem is presented concerning positive topological entropy (i.e. chaos) for impulsive differential equations Cartesian product compact intervals, which positively invariant under composition associated Poincaré translation operator with multivalued upper semicontinuous mapping.

Let K be a nonempty compact convex subset of a uniformly convex Banach space, and   K K T   : a multivalued nonexpansive mapping. We prove that the sequences of Noor iterate converge to a fixed point of T. This generalizes former results proved by Banach convergence of Noor iterates for a multi-valued mapping with a fixed point. We also introduce both of the iterative processes in a new sen...

Modal logic interpretations of plausibility and belief measures are developed based on the observation that the inverse of the value assignment function in a model of modal logic induces the upper plausibility and lower belief measures of the plausibility and belief measures induced by the accessibility relation, regarded as a multivalued mapping.

In this paper, a generalization of Nadler’s fixed point theorem is presented for H-type k-multivalued weak contractive mappings. We consider a nonconvex Hammerstein type integral inclusion and prove an existence theorem by using an H-type multi-valued weak contractive mapping.

In this paper, we prove a common fixed point theorem for single-valued and multivalued mappings on a metric space using the minimal type commutativity condition. We show that continuity of any mapping is not necessary for the existence of a common fixed point.

In this paper, we discuss the semantics of disjunctive programs and databases and show how multivalued mappings and their fixed points arise naturally within this context. A number of fixed-point theorems for multivalued mappings are considered, some of which are already known and some of which are new. The notion of a normal derivative of a disjunctive program is introduced. Normal derivatives...

In the present work, we first discuss definition of a multivalued ($\psi$-$G$)-contraction mapping in metricspace endowed with graph as introduced \cite{1} and suggest generalization. Then, prove common fixed point theorem for mappings partial metric spaces graph. An example application illustrates main existence result some known results are derived.