Topology and its Applications, ( ISI ), Volume (320), Year (2022-10)
Title : ( On continuity of set-valued mappings )
Authors: Lubica Hola , Seyyed Alireza Kamel Mirmostafaee ,Access to full-text not allowed by authors
Abstract
We will show that under certain circumstances upper and lower quasi-continuity implies continuity. We also extend Fort\\\\\\\\\\\\\\\'s theorem for upper quasi-continuous mappings, by showing that every upper quasi-continuous mapping from a Baire space into compact subsets of a regular locally metrizable space is continuous at points of a dense $G_\\\\\\\\\\\\\\\\delta$ subset of $X$.