id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6304	Pandiselvi, M. ; Jeyaraman, M. ; Akram, M. 	A Combined Study of Continuities and Boundedness in Neutrosophic Pseudo-Normed Linear Spaces	2025	15	.pdf	application/pdf	6209	406	86	ρ1(ϖ − ϑ, φ) ≤ δ ⇒ ρ2(Υ(ϖ)−Υ(ϑ), φ) ≤ δ ς1(ϖ − ϑ, φ) ≤ δ ⇒ ς2(Υ(ϖ)−Υ(ϑ), φ) ≤ δ. η1(ϖ,φ) ≥ δ ⇒ η2(Υ(ϖ), φ) ≥ δ, ρ1(ϖ,φ) ≤ δ ⇒ ρ2(Υ(ϖ), φ) ≤ δ and ς1(ϖ,φ) ≤ δ ⇒ ς2(Υ(ϖ), φ) ≤ δ. γ ≥ δ.γ + δ ∥(ϖ −ϖ0)∥, by taking ϵ = γ. ⇒ γ γ+∥(ϖ−ϖ0)∥ ≥ δ ⇒ η(ϖ −ϖ0, γ) ≥ δ. ρ(Υ(ϖ)−Υ(ϖ0), ϵ) ≤ δ ∥Υ(ϖ)−Υ(ϖ0)∥ ϵ+ ∥Υ(ϖ)−Υ(ϖ0)∥ ≤ δ ⇒ ∥∥∥ ϖ3 1+ϖ − ϖ3 0 1+ϖ0 ∥∥∥ ϵ+ ∥∥∥ ϖ3 1+ϖ − ϖ3 0 1+ϖ0 ∥∥∥ ≤ δ ∥∥ϖ3 +ϖ0ϖ 3 −ϖ3 0 −ϖξ30 ∥∥ ϵ ∥(1 +ϖ)(1 +ϖ0)|+ ∥∥ϖ3 +ϖ0ϖ3 −ϖ3 0 −ϖξ30 ∥∥ ≤ δ∥∥(ϖ −ϖ0)(ϖ 2 +ϖξ0 +ϖ2 0) +ϖξ0(ϖ +ϖ0)(ϖ −ϖ0) ∥∥ ϵ ∥1 +ϖ +ϖ0 +ϖξ0∥+ ∥∥(ϖ	cache/ejpam-6304.pdf	txt/ejpam-6304.txt