Upper and Lower $s\beta(\star)$-continuous Multifunctions

Our main purpose is to introduce the concepts of upper and lower $s\beta(\star)$-continuous multifunctions. In particular, some characterizations of upper and lower $s\beta(\star)$-continuous multifunctions are investigated. Moreover, the relationships between $s\beta(\star)$-continuous multifunctions and almost $s\beta(\star)$-continuous multifunctions are discussed.