This paper deals with the concepts of upper and lower (τ 1 , τ 2 )-precontinuous multifunctions. Some characterizations of upper and lower (τ 1 , τ 2 )-precontinuous multifunctions are investigated. The relationships between upper and lower (τ 1 , τ 2 )-precontinuous multifunctions and the other types of continuity are discussed.Keywords: τ 1 τ 2 -preopen, upper (τ 1 , τ 2 )-precontinuous multifunction, lower (τ 1 , τ 2 )-precontinuous multifunction.
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.
This article deals with the concepts of Λp-sets and (Λ, p)-closed sets which are defined by utilizing the notions of preopen sets and preclosed sets. We also introduce and characterize some new low separation axioms. Characterizations of Λp-R0 spaces are given. Moreover, we introduce the concept of weakly (Λ, p)-continuous functions. In particular, several characterizations of weakly (Λ, p)-continuous functions are established.
The purpose of the present article is to introduce the notion of (Λ, s)-closed sets. Especially, some properties of generalized (Λ, s)-closed sets are obtained. Several characterizations of some low separation axioms are given. Characterizations of (Λ, s)-extremally disconnected spaces are investigated. Furthermore, some characterizations of almost (Λ, s)-continuous functions are discussed.
The purpose of the present paper is to introduce the notions of upper and lower almost weakly (Ï„1, Ï„2)-continuous multifunctions. Several characterizations of upper and lower almost weakly (Ï„1, Ï„2)-continuous multifunctions are investigated.
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