Upper and Lower almost Weak (Ï„1, Ï„2)-continuity

Abstract

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.

Characterizations of Almost (τ1, τ2)-Continuous Functions

“…(5) ⇒ (1): Let K be any (σ 1 , σ 2 )r-closed set of Y. Then, K is (σ 1 , σ 2 )s-open in Y and by (5),…”

“…Furthermore, several characterizations of g (m,n) -continuous functions were established in [10]. In [5], the authors investigated several characterizations of almost weakly (τ 1 , τ 2 )-continuous multifunctions. Laprom et al [12] introduced and studied the concept of almost β(τ 1 , τ 2 )-continuous multifunctions.…”

On Weakly $(\tau_1,\tau_2)$-continuous Functions

“…Laprom et al [9] studied the concept of β(τ 1 , τ 2 )-continuity for multifunctions. In addition, some characterizations of almost weak (τ 1 , τ 2 )-continuity for multifunctions were established in [4]. In this paper, we introduce the concept of weakly (τ 1 , τ 2 )-continuous functions.…”

Weak (τ1, τ2)-Continuity for Multifunctions

“…Viriyapong and Boonpok [21] introduced and studied the concept of weakly (τ 1 , τ 2 )α-continuous multifunctions. Furthermore, several characterizations of weakly (τ 1 , τ 2 )δ-semicontinuous multifunctions and almost weakly (τ 1 , τ 2 )-continuous multifunctions were established in [6] and [4], respectively. In this paper, we introduce the concept of weakly (τ 1 , τ 2 )-continuous multifunctions.…”