On Weak Forms of Upper and Lower Continuous Multifunctions between an Ideal Topological Space and a Bitopological Space

This paper presents new concepts of continuous multifunctions defined from an ideal topological space into a bitopological space, called upper weakly τ⁽σ₁,σ₂)-continuous multifunctions and lower weakly τ⁽σ₁,σ₂)-continuous multifunctions. Furthermore, several characterizations and some properties concerning upper weakly τ⁽σ₁,σ₂)-continuous multifunctions and lower weakly τ⁽σ₁,σ₂)-continuous multifunctions are investigated. Moreover, the relationships between almost τ⁽σ₁,σ₂)-continuity andweak τ⁽σ₁,σ₂)-continuity are established.