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...

Abstract In this paper, we present two new inertial projection-type methods for solving multivalued variational inequality problems in finite-dimensional spaces. We establish the convergence of sequence generated by these when mapping associated with problem is only required to be locally bounded without any monotonicity assumption. Furthermore, techniques that employ paper are quite different ...

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...

Equilibrium problems theory provides us with a natural, novel and unified framework for studying a wide class of problems arising in economics, finance, transportation, network and structural analysis, elasticity and optimization. The ideas and techniques of this theory are being used in a variety of diverse areas and proved to be productive and innovative. Let H be a Hilbert space with inner p...

Fixed point and coincidence results are presented for multivalued generalized n -weak contractive mappings on complete metric spaces, where N: [0, +4) ÷ [0, +4) is a lower semicontinous function with N (0) = 0 and N (t) > 0 for all t > 0. Our results extend previous results by Zhang and Song (2009), as well as by Rhoades (2001), Nadler (1969) and DaTer and Kaneko (1995). Branciari (2002) gave a...

In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f -MK -pair mappings and f -CJM-pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfie...