(τ1, τ2)α-Continuity for Multifunctions

Abstract

The main goal of this article is to introduce the concepts of upper and lower (τ1, τ2)α-continuous multifunctions. Characterizations of upper and lower (τ1, τ2)α-continuous multifunctions are investigated. The relationships between upper and lower (τ1, τ2)α-continuous multifunctions and the other types of continuity are discussed.