id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4573	Boonpok, Chawalit; Pue-on, Prapart	Upper and lower weakly (Λ, sp)-continuous multifunctions	2023	12	.pdf	application/pdf	4880	352	83	(2) For every pair of (Λ, sp)-open sets U and V whose union is X, there exist (Λ, sp)- closed sets F and H such that F ⊆ U , H ⊆ V and F ∪H = X. (3) For every (Λ, sp)-closed set F and every (Λ, sp)-open set G containing F , there exists a (Λ, sp)-open set U such that F ⊆ U ⊆ U (Λ,sp) ⊆ G. (4) For every pair of disjoint (Λ, sp)-closed sets F and H, there exist disjoint (Λ, sp)- open sets U and V A multifunction F : (X, τ) → (Y, σ) is said to be: (i) upper weakly (Λ, sp)-continuous if, for each x ∈ X and each (Λ, sp)-open set V of Y containing F (x), there exists a (Λ, sp)-open set U of X containing x such that F (U) ⊆ V (Λ,sp); (ii) lower weakly (Λ, sp)-continuous if, for each x ∈ X and each (Λ, sp)-open set V of Y such that F (x) ∩ V ̸= ∅, there exists a (Λ, sp)-open set U of X containing x	cache/ejpam-4573.pdf	txt/ejpam-4573.txt