ON UPPER AND LOWER m-ITERATE CONTINUOUS MULTIFUNCTIONS

TAKASHI NOIRI(1) and VALERIU POPA(2)

1. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 JAPAN e-mail: t.noiri@nifty.com
2. "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA, e-mail: vpopa@ub.ro

Abstract

We introduce the notion of mIT-structures determined by operators mInt and mCl on an m-space . By using mIT-structures, we introduce and investigate the new classes of multifunctions called upper/lower mIT-continuous. As special cases of upper/lower mIT-continuity, we obtain upper/lower -M continuity [34] and upper/lower -M-precontinuity [35].

Keywords

m-structure m-continuous mIT-structure mIT-continuous multifunction