A NEW VIEWPOINT IN THE STUDY OF ⋆-CONTINUITY FOR MULTIFUNC-TIONS

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 157 Calea Mărășești, Bacău 600115, ROMANIA e-mail: vpopa@ub.ro

Abstract

We introduce and study a unified form (called m⋆-Icontinuity) of ⋆-continuity [9], α(⋆)-continuity [10], β(⋆)-continuity [11] and other continuity properties for multifunctions in ideal topological spaces.

Keywords

m-structure m-space ideal m⋆-Icontinuity ⋆-continuity α(⋆)-continuity β(⋆)-continuity multifunction