On some variations of multifunction continuity

Abstract

This paper considers six classes of multifunctions between topological spaces, namely almost ℓ−continuous multifunctions, K-almost c−continuous multifunctions, nearly continuous multifunctions, almost nearly continuous multifunctions, super continuous multifunctions, and δ−continuous multifunctions. We relate these classes of multifunctions to others, and provide characterizations of related concepts especially in terms of appropriate changes of topology.

Keywords

• Almost ℓ−continuity
• K-almost c−continuity
• Semi continuity
• Super continuity
• δ−continuity
• Nearly continuity
• Change of topology
• Multifunction