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.
@article{paperid:1090637,
author = {Lubica Hola and Kamel Mirmostafaee, Seyyed Alireza},
title = {On continuity of set-valued mappings},
journal = {Topology and its Applications},
year = {2022},
volume = {320},
month = {October},
issn = {0166-8641},
keywords = {Set-valued functions; upper (lower) semi-continuity; locally metrizable spaces; minimal mappings.},
}
%0 Journal Article
%T On continuity of set-valued mappings
%A Lubica Hola
%A Kamel Mirmostafaee, Seyyed Alireza
%J Topology and its Applications
%@ 0166-8641
%D 2022
