id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6526	Alsoboh, Abdullah ; Oudetallah, Jamal ; Amourah, Ala; Al-Naimi, Raja’a ; Al Hatmi, Mohammed ; Audeh, Wasim ; Almalkawi, Ahmad ; Sasa, Tala	Bi-Metric Structures and Their Applications in Bitopological Contexts	2025	21	.pdf	application/pdf	7488	527	65	If (X,ϕ1) and (X,ϕ2) are both separable metric spaces, then (X,Ψ,⊕) forms bi-separable bi-metric system. For bi-complete bi-metric system (X,Ψ,⊕) with Ψ(x, y) = (ϕ1(x, y), ϕ2(x, y)) and ⊕ implementing component-wise addition, consider mapping T : X → X satisfying: Ψ(T (x), T (y)) ≤comp (λ1 · ϕ1(x, y), λ2 · ϕ2(x, y)) for all x, y ∈ X and constants λ1, λ2 ∈	cache/ejpam-6526.pdf	txt/ejpam-6526.txt