ON UPPER AND LOWER m-ITERATE CONTINUOUS MULTIFUNCTIONS.

We introduce the notion of mIT-structures determined by operators mInt and mCl on an m-space (X;mX). By using mIT- structures, we introduce and investigate new classes of multifunctions F : (X;mX) → (Y; σ) called upper/lower mIT-continuous. As special cases of upper/lower mIT-continuity, we obtain upper/lower -M continuity [34] and upper/lower δ-M-precontinuity [35]. [ABSTRACT FROM AUTHOR]