@article{oai:ir.kagoshima-u.ac.jp:00015924, author = {FURUSAWA, Hitoshi and YOSHIDA, Satoru}, journal = {鹿児島大学理学部紀要, Reports of the Faculty of Science, Kagoshima University}, month = {Dec}, note = {This note introduces a notion of upper continuity of relations and provides 5 equivalent conditions with the upper continuity. As the case of continuous functions, each condition characterlises upper continuous relations by respectively using open sets, neighbourhoods, interiors, closures, and closed sets. A notion of sequential continuity is also studied. We show a relevance between upper continuous relations and sequentially upper continuous relations which is, again, analogous to the case of functions.}, pages = {1--7}, title = {A note on upper continuity properties of relations}, volume = {54}, year = {2021} }