We consider set valued mappings de ned on a topological space with convex closed images in IRn The measurability of a multifunction is characterized by the existence of a Castaing representation for it a countable set of measurable selections that pointwise ll up the graph of the multifunction Our aim is to construct a Castaing representation which inherits the regularity properties of the mult...

In this paper, the concept of completely N-continuous multifunction is defined and their basic characterizations and properties are obtained.

The purpose of this paper is to introduce and study a new generalization of ω-continuous multifunction called slightly ω-continuous multifunctions in topological spaces. AMS (MOS) Subject Classification Codes: 54C10, 54C08, 54C05

Real world applications are dealing now with a huge amount of data, especially in the area high dimensional features. In this article, we depict simply*upper, simply*lower continuous, get several characteristics and other properties respect to upper lower simply*-continuous soft multi-functions. We also investigate relationship between soft-continuous, simply*continuous multifunction. implement...

INTRODUCTION Many clinically available, upper-extremity prosthetic limbs provide myoelectric control of a single device, such as a hand, elbow, or wrist. Most commonly, these systems yield control information from myoelectric signal (MES) amplitude [1] or rate of change of MES [2]. Such systems have been beneficial; however, prosthetic users would no doubt find enhanced functionality and usabil...

We propose a projection-type algorithm for variational inequalities involving multifunction. The algorithm requires two projections on the constraint set only in a part of iterations (one third of the subcases). For the other iterations, only one projection is used. A global convergence is proved under the weak assumption that the multifunction of the problem is pseudomonotone at a solution, cl...

In this paper some fixed point principle is applied to prove, in a separable Banach space, the existence of solutions for delayed second order differential inclusions with three-point boundary conditions of the form ü(t) ∈ F (t, u(t), u(h(t)), u̇(t)) +H(t, u(t), u(h(t)), u̇(t)) a.e. t ∈ [0, 1], where F is a convex valued multifunction upper semi continuous on E ×E ×E, H is a lower semicontinuous ...

In this paper we examine nonlinear integrodifferential inclusions in R . For the nonconvex problem, we show that the solution set is a retract of the Sobolev space W (T,R ) and the retraction can be chosen to depend continuously on a parameter λ. Using that result we show that the solution multifunction admits a continuous selector. For the convex problem we show that the solution set is a retr...

Abstract. In this paper, the authors defined a multifunction F : X → Y to be upper (resp. lower) weakly α-continuous if for each x ∈ X and each open set V of Y such that F (x) ⊂ V (resp. F (x) ∩ V 6= ∅), there exists an α-open set U of X containing x such that U ⊂ F(Cl(V )) (resp. U ⊂ F−(Cl(V ))). They give some characterizations and several properties concerning upper (lower) weakly α-continuo...