The purpose of this article is to initiate the notion monotone multivalued generalized (α,β)-nonexpansive mappings and explore iterative approximation fixed points for mapping in an ordered CAT(0) space. In particular, we employ S-iteration algorithm space prove some convergence results. Moreover, examples useful results related proposed are provided. Numerical experiments also provided illustr...

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...

In this paper, we consider two problems. the first problem, prove that if assumption from [1] and one additional condition on parameters of game hold, then pursuit can be completed in any neighborhood terminal set. To complete game, an ε-positional strategy is constructed.In second study invariance a given multivalued mapping with respect to system distributed parameters. The described by heat-...

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...

In this study, we introduce a new notion, so-called KW-type F-contraction mapping, inspired by the ideas of Wardowski and Klim–Wardowski. Then, investigate existence best proximity point for such mappings considering family, which is larger than family functions that often used in fixed-point results multivalued mappings. To demonstrate effectiveness our result, also give comparative example to...

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...

An important aspect of data modeling is the identification of entities or objects and their associated attributes. An attribute may be single-valued or multivalued. During database design, the designer usually has to represent all attributes in relational tables that only allow single-valued cells. A number of authors (1, 3, 5, 6) advocate the notion that multivalued attributes are essentially ...

A class of implicit multivalued vector equilibrium problems is studied. By using the generalized Fan-Browder fixed point theorem, some existence results of solutions for the implicit multivalued vector equilibrium problems are obtained under some suitable assumptions. Moreover, a stability result of solutions for the implicit multivalued vector equilibrium problems is derived. These results ext...