ON UPPER AND LOWER m-ITERATE CONTINUOUS MULTIFUNCTIONS

  • TAKASHI NOIRI
    2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 JAPAN
    t.noiri@nifty.com
  • VALERIU POPA
    "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA
    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].

Cuvinte cheie

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