We investigate the convergence of measurable selectors for the limit of measurable multivalued maps. The relationship between the convergence of measurable selectors and lower and upper limits of measurable multivalued mappings with closed images is also derived. c © 2007 Elsevier Ltd. All rights reserved.

We construct a new scheme of approximation of any multivalued algebraic function f(z) by a sequence {rn(z)}n∈N of rational functions. The latter sequence is generated by a recurrence relation which is completely determined by the algebraic equation satisfied by f(z). Compared to the usual Padé approximation our scheme has a number of advantages, such as simple computational procedures that allo...

Abstract Multivalued $$*$$ ∗ -nonexpansive mappings are studied in Banach spaces. The demiclosedness principle is established. Here we focus on the problem of solving a variational inequality which defined set fixed points multivalued mapping. For this purpose, introduce tw...

Functional dependencies [4] and multivalued dependencies [5,11] are important, widely-studied constraints on databases. A fundamental issue in database theory is the question of determining whether or not a given set of dependencies (in our case, functional and multivalued dependencies) logically implies another given dependency. We provide a simple and elegant set-theoretic characterization fo...

Recently, the issues of how to define functional dependencies (XFDs) and multivalued dependencies (XMVDs) in XML have been investigated. In this paper we consider the problem of checking the satisfaction of a set of XMVDs in an XML document. We present an algorithm using extensible hashing to check whether an XML document satisfies a given set of XMVDs. The performance of the algorithm is shown...

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a finite family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the propose iterative scheme under some appropriate conditions.

In the paper, we study the problem of existence of solutions to differential inclusions remaining in prescribed closed subsets of a Euclidean space. We find some new homological and homotopical sufficient conditions for existence of such trajectories. Strong deformations and multivalued admissible deformations are used as main tools. Introduction. In the paper we study the problem of existence ...

In this paper, we present new fixed point results for nonlinear contractions (both single and multivalued) defined on subsets X (which may have empty interior) of a Fréchet space E. Some results for single-valued maps were presented in [2, 3] and the approach in these papers was based on constructing a specific map Fn (for each n∈N= {1,2, . . .}) whose fixed points converge to a fixed point of ...

We consider a multivalued equation of the form Ay + ∂φ(y) 3 f in a real Hilbert space, where A is a linear operator and ∂φ represents the (Clarke) subdifferential of the function φ. We prove existence and uniqueness results of the solution by using the control variational method. The main idea in this method is to minimize the energy functional associated to the nonlinear equation by arguments ...