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 ...

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.

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...

More work is needed on devising practical, but theoretically wellfounded procedures for doing object-oriented database (OODB) &sign. Besides being practical and having formal properties, these design procedures should alSo be flexible enough to allow for peculiarities that make applications unique. In this paper. we present and discuss an OODB design procedure that addresses these problems. The...

In this paper, we explain a new generalized contractive condition for multivalued mappings and prove a fixed point theorem in metric spaces (not necessary complete) which extends some well-known results in the literature. Finally, as an application, we prove that a multivalued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresp...

In this paper, we introduced the notion of a generalized multivalued (α,φ)-almost contractions and establish the existence of fixed point theorems for this class of mapping. The results presented in this paper generalize and extend some recent results in multivalued almost contraction. Also, we show its applications in the Ulam-Hyers stability of fixed point problems for multivalued operators.

In this paper we study multivalued martingales in continuous time. First we show that every multivalued martingale in continuous time can be represented as the closure of a sequence of martingale selections. Then we prove two results concerning the cadlag modifications of continuous time multivalued martingales, in Kuratowski-Mosco convergence and in convergence in the Hausdorff metric respecti...

We present the performance of three different multivalued current mode 1-bit adders. These circuits have been simulated with the electrical parameters of a standard 1.2 μm CMOS technology. The performance of a binary voltage mode 1-bit adder is also presented. The binary version uses twice more transistors comparing with multivalued ones, but it is two or three times faster. Multivalued version...

The paper presents an approach for handling uncertain information in deductive databases using multivalued logics. Uncertainty means that database facts may be assigned logical values other than the conventional ones true and false. The logical values represent various degrees of truth, which may be combined and propagated by applying the database rules. A corresponding multivalued database sem...

The paper presents a new method for multivalued simulation of digital circuits based on calculation of Boolean derivatives on BDDs (or structural alternative graphs). A procedure for calculation of maximums of Boolean derivatives as the basis of multivalued simulation is given. The method is applicable for component level representations of digital circuits where as components arbitrary subcirc...