id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-1625	Pandiselvi. M	Some Common Fixed Point Theorems in Neutrosophic Metric Spaces	2024	14	.pdf	application/pdf	8896	286	82	In view of Lemma (2.9), we have �̈�𝔨 = �̈�𝜍̃ and therefore �̈�𝔨 = 𝔏𝔨 = �̈�𝜍̃ = 𝔚𝜍̃. (3.4.4) Suppose that the pair {𝔄,̈ 𝔏} have an another coincidence point 𝔴 ∈ Ξ. i.e., �̈�𝔴 = 𝔏𝔴. Now, ℜ(�̈�𝔴, �̈�𝜍̃, 𝔡𝜚) ≥ min{ℜ(𝔏𝔴, 𝔚𝜍̃, 𝜚), ℜ(𝔏𝔴, �̈�𝔴, 𝜚), ℜ(�̈�𝜍̃, 𝔚𝜍̃, 𝜚), ℜ(�̈�𝔴, 𝔚𝜍̃, 𝜚), ℜ(�̈�𝜍̃, 𝔏𝔴, 𝜚)} = min{ℜ(�̈�𝔴, �̈�𝜍̃, 𝜚), ℜ(�̈�𝔴, �̈�𝔴, 𝜚), ℜ(�̈�𝜍̃, �̈�𝜍̃, 𝜚), ℜ(�̈�𝔴, �̈�𝜍̃, 𝜚), ℜ(�̈�𝜍̃, �̈�𝔴, 𝜚)} = min{ℜ(�̈�𝔴, �̈�𝜍̃, 𝜚), 1,1, ℜ(�̈�𝔴, �̈�𝜍̃, 𝜚), ℜ(�̈�𝜍̃, �̈�𝔴, 𝜚)} = ℜ(�̈�𝔴, �̈�𝜍̃, 𝜚). If there exists 𝔡 ∈ (0, 1) such that ℜ(𝔏𝔨, 𝔏𝜍̃, 𝔡𝜚) ≥ �̃�ℜ(�̈�𝔨, 𝔄𝜍̃̈ , 𝜚) + �̃� 𝑚𝑖𝑛{ℜ(�̈�𝔨, �̈�𝜍̃, 𝜚), ℜ(𝔏𝔨, �̈�𝔨, 𝜚), ℜ(𝔏𝜍̃, �̈�𝜍̃, 𝜚)} 𝔖(𝔏𝔨, 𝔏𝜍̃, 𝔡𝜚) ≤ �̃�𝔖(�̈�𝔨, �̈�𝜍̃, 𝜚) + �̃� 𝑚𝑎𝑥{𝔖(�̈�𝔨, �̈�𝜍̃, 𝜚)𝔖(𝔏𝔨, �̈�𝔨, 𝜚), 𝔖(𝔏𝜍̃, �̈�𝜍̃, 𝜚)} and 𝔗(𝔏𝔨, 𝔏𝜍̃, 𝔡𝜚) ≤ �̃�𝔗(�̈�𝔨, �̈�𝜍̃, 𝜚) + �̃� 𝑚𝑎𝑥{𝔗(�̈�𝔨, �̈�𝜍̃, 𝜚), 𝔗(𝔏𝔨, �̈�𝔨, 𝜚), 𝔗(𝔏𝜍̃, �̈�𝜍̃, 𝜚)} (3.10.1)	cache/cana-1625.pdf	txt/cana-1625.txt