International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 2, Pages 345-350
doi:10.1155/S0161171293000419

Weakly closed multifunctions and paracompactness

Jiling Cao

Department of Mathematics, Tianjin University, Tianjin 300072, China

Abstract

The purpose of the present paper is to investigate weakly closed multifunctions between topological spaces. We discuss basic properties of weakly closed multifunctions and some results of Rose and Janković are extended. Our main theorems are concerning some properties of paracompactness under weakly closed multifunctions. These theorems are generalizations of some results due to Kovaćević and Singal.