Almost Quasi Continuity and Weak Quasi Continuity for Multifunctions Between an Ideal Topological Space and a Bitopological Space

This paper introduces four classes of continuous multifunctions defined from an ideal topological space into a bitopological space, namely upper almost quasi ^ (₁, ₂) -continuousmultifunctions, lower almost quasi ^ (₁, ₂) -continuous multifunctions, upper weakly quasi ^ (₁, ₂) -continuous multifunctions and lower weakly quasi ^ (₁, ₂) -continuous multifunctions. Moreover, several characterizations of upper almost quasi ^ (₁, ₂) -continuous multifunctions, lower almost quasi ^ (₁, ₂) -continuous multifunctions, upper weakly quasi ^ (₁, ₂) -continuous multifunctions and lower weakly quasi ^ (₁, ₂) -continuous multifunctions are established. Furthermore, the relationships between almost quasi ^ (₁, ₂) -continuity and weak quasi ^ (₁, ₂) -continuity are discussed.