UPPER AND LOWER m-I-CONTINUOUS MULTIFUNCTIONS
VALERIU POPA(1), TAKASHI NOIRI(2)
1. “Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău, 600115, ROMANIA e-mail: vpopa@ub.ro 2. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 JAPAN e-mail: t.noiri@nifty.com
Abstract
In this paper we introduce upper/lower m-I-continuous multifunctions as multifunctions defined on an ideal minimal space (X; m; I). We obtain some characteriza-tions and several properties of such multifunctions. As special cases of these properties, we obtain the properties of upper/lower α-I-continuous [4], upper/lower semi-I-continuous [3] and upper/lower pre-I-continuous [3] multifunctions.