SOME GENERALIZATIONS OF ULTRA CONTINUOUS MULTIFUNCTIONS

  • TAKASHI NOIRI
    2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869- 5142 JAPAN,
  • VALERIU POPA
    Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA,

Abstract

We introduce the notion of upper/lower (τ,m)-continuous multifunctions and obtain many characterizations of such multifunctions. The notion of upper/lower (τ,m)-continuous mul-tifunctions is a generalization of (τ,m)-continuous functions (V. Popa and T. Noiri, Rend Circ. Mat. Palermo (2) 51 (2002), 295-316) and upper/lower ultra continuous multifunc-tions due to Navalagi et al (G. B. Navalagi, M. Lellis Thivagar and R. Raja Rajeswari, Indian J. Math. Comput. Sci. Inform. Techn. 1(1) (2008), 69-74).

Cuvinte cheie

m-structure m-space bitopological space multifunction m)-continuous ultra continu-ous