A UNIFIED THEORY OF ALMOST CONTINUITY FOR 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, Faculty of Sciences, Department of Mathematics and Informatics, Calea Mărăşeşti 157, Bacău 600115, ROMANIA
    vpopa@ub.ro

Abstract

We introduce the notions of upper/lower almost m-continuity for multifunctions from a set satisfying certain minimal condition into a topological space. We obtain their characterizations and properties which unify those of almost continuity, almost quasi-continuity, almost precontinuity, almost α-continuity, almost β-continuity and almost γ-continuity for multifunctions.

Cuvinte cheie

m-structure m-space almost m-continuous multifunction