We introduce a new class of multifunctions called a slightly m-continuous multifunction which is a generalization of both slightly continuous functions [10] andm-continuous multifunctions [33]. In this paper we obtain several properties of such a multifunction.

In this paper, we define and study generalizations of expansiveness, namely n- $$\aleph _0$$ -expansiveness, continuum-wise expansive meagre expansiveness for non-autonomous discrete dynamical systems. We discuss various properties such systems give necessary examples. prove results related to non-existence -expansive system on certain spaces. also relation between meagre-expansive

The paper deals with affine selections of affine (both convex and concave) multifunctions acting between finite-dimensional real normed spaces. It is proved that each affine multifunction with compact values possesses an exhaustive family of affine selections and, consequently, can be represented by its affine selections. Moreover, a convex multifunction with compact values possesses an exhaust...

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...

One configuration for realizing voltage-mode multifunction filters and another configuration for realizing current-mode multifunction filters using current feedback amplifiers (CFAs) are presented. The proposed voltage-mode circuit exhibit simultaneously lowpass and bandpass filters. The proposed current-mode circuit exhibit simultaneously lowpass, bandpass and highpass filters. The proposed ci...

A major concern in the application of multifunction digital relays for the protection of generators is that almost all the electrical protection, including both primary and the backup relay functions, are embodied in one digital package. The failure of that package results in the loss of virtually all generator electrical protection. This paper discusses how multifunction relays can be designed...