In this article the coincidence points of a self map and a sequence of multivalued maps are found in the settings of complete metric space endowed with a graph. A novel result of Asrifa and Vetrivel is generalized and as an application we obtain an existence theorem for a special type of fractional integral equation. Moreover, we establish a result on the convergence of successive approximation...

We prove the existence of a continuous selection of the multivalued map ) η , ξ ( → AF ) η , ξ ( , where AF ) η , ξ ( is the set of all mild solutions of the Cauchy problem x” ∈ Ax + F(t, x) , x (0) = ξ , x (0) = η assuming that F is Lipschitzian with respect to x and A is the infinitesimal generator of a strongly cosine family of linear operators on a Banach space E. AMS 2000 Subject Classific...

in this paper,  we introduce the notion of  generalized multivalued  $f$- weak contraction and we prove some fixed point theorems related to introduced  contraction for multivalued mapping in complete metric spaces.  our results extend and improve the results announced by many others with less hypothesis. also, we give some illustrative examples.

The existence of martingale selectors for a multivalued supermartin-gale with continuous parameter is proved.We also prove the weak regularity of multivalued supermartingales.Using the regularity of Banach-valued martingales,we show a multivalued supermartingale has a cadlag modiication under Kuratowski convergence. x1. Introduction Multivalued martingales and supermartingales with discrete par...

We discuss a model of a conformal p-brane interacting with the world volume metric and connection. The purpose of the model is to suggest a mechanism by which gravity coupled to p-branes leads to the formation of structure rather than homogeneity in spacetime. Furthermore, we show that the formation of structure is accompanied by the appearance of a multivalued cosmological constant, i.e., one ...

In a real separable Hilbert space, we consider nonautonomous evolution equations including time-dependent subdifferentials and their nonmonotone multivalued perturbations. In this paper, we treat the multivalued dynamical systems associated with time-dependent subdifferentials, in which the solution is not unique for a given initial state. In particular, we discuss the asymptotic behaviour of o...

It is clear that a monotone map is pseudomonotone, while a pseudomonotone map is quasimonotone. The converse is not true. If T is pseudomonotone (quasimonotone) and w ∈ X*\{}, then T + w is not pseudomonotone (quasimonotone) in general. In the case of a single-valued linear map T defined on the whole space Rn, it is known that if T + w is quasimonotone, then T is monotone []. Many authors (se...

We study connectivity preserving multivalued functions [10] between digital images. This notion generalizes that of continuous multivalued functions [6, 7] studied mostly in the setting of the digital plane Z. We show that connectivity preserving multivalued functions, like continuous multivalued functions, are appropriate models for digital morpholological operations. Connectivity preservation...

Symmetry in systems arises as a result of natural design and provides pivotal mechanism for crucial system properties. In the field control theory, scattered research has been carried out concerning group-theoretic symmetric systems. this manuscript, principles stochastic analysis, fixed-point theorem, fractional calculus, multivalued map theory are implemented to investigate null boundary cont...