Topology and its Applications, ( ISI ), Volume (320), Year (2022-10)

Title : ( On continuity of set-valued mappings )

Authors: Lubica Hola , Seyyed Alireza Kamel Mirmostafaee ,

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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 $X$.

Keywords

, Set-valued functions, upper (lower) semi-continuity, locally metrizable spaces, minimal mappings.