A New Kupka Type Continuity, Î»-Compactness and Multifunctions

M. Caldas; E. Hatir; S. Jafari; T. Noiri

Authors

M. Caldas Departamento de Matemática Aplicada, Universidade Federal Fluminense, Rua Mário Santos Braga, s/n, 24020-140, Niterói, Rio de Janeiro, Brasil.
E. Hatir Egitim Fakültesi, Selçuk Ìniversitesi, Matematik Bölümü, 42090 Konya, Turkey.
S. Jafari Department of Economics, Copenhagen University, Oester Farimagsgade 5, Bygning 26, 1353 Copenhagen K, Denmark.
T. Noiri 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142, Japan.

Keywords:

Topological spaces, Î›-sets, Î»-open sets, Î»-closed sets, Î»-Kupka continuity, multifunction

Abstract

In this paper, we introduce a new Kupka type function called Î»-Kupka and we investigate some of its properties. Also we obtain several characterizations and some basic properties concerning upper (lower) Î»-continuous multifunctions.