id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-1065	Ajay Kumar Chaudhary	A Common Fixed Point Result in Menger Space	2024	8	.pdf	application/pdf	3639	149	77	Definition 2.4 [2]: A probabilistic metric space (𝑌, 𝑀) is said to be Menger space (𝑌, 𝑀, 𝑡), where t is a t-norm satisfying the following conditions: (M5) 𝑀𝑝,𝑞(𝑥 + 𝑦) ≥ 𝑡 (𝑀𝑝,𝑟(𝑥), 𝑀𝑟,𝑞(𝑦)) for every 𝑝, 𝑞, 𝑟 ∈ 𝑌 and 𝑥, 𝑦 ∈ ℝ > 0. Then, 𝐴 is continuous at a point 𝑦 ∈ 𝑌 if and only if for every sequence {𝑦𝑛} in 𝑌 converging to a point 𝑦, then sequence {𝐴𝑦𝑛} converges to the point 𝐴𝑦, i.e. if {𝑦𝑛} → 𝑦 then it implies {𝐴𝑦𝑛} → 𝐴𝑦. Proposition 2.1[9]: In Menger Space(𝑌, 𝑀, 𝑡), if 𝑡 (𝑘, 𝑘) ≥ 𝑘 for all 𝑘 ∈ [0, 1] then 𝑡(𝑎, 𝑏) = 𝑚𝑖𝑛 {𝑎, 𝑏} for all 𝑎, 𝑏 ∈ [0, 1].	cache/cana-1065.pdf	txt/cana-1065.txt