id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-5350	Sandhya Shukla, Priyanka Nigam	Exploring Quadruple Fixed Points in Fuzzy Metric Spaces for Occasionally Weakly Compatible Mappings	2025	8	.pdf	application/pdf	2938	139	82	Next we show that 𝑥 = 𝑦, for this putting 𝑥 = 𝑎 , 𝑦 = 𝑏 , 𝑧 = 𝑐, 𝑝 = 𝑑, 𝑢 = 𝑏′ , 𝑣 = 𝑐′, 𝑤 = 𝑑′, 𝑟 = 𝑎′ in (i), 𝑀(𝑥, 𝑦, 𝑞𝑡) = 𝑀(𝐴(𝑎, 𝑏, 𝑐, 𝑑), 𝐵(𝑏′, 𝑐′, 𝑑′, 𝑎′), 𝑞𝑡) ≥ 𝑚𝑖𝑛 { 𝑀(𝑆𝑎, 𝑇𝑏′, 𝑡), 𝑀(𝐴(𝑎, 𝑏, 𝑐, 𝑑), 𝑆𝑎, 𝑡), 𝑀(𝐵(𝑏′, 𝑐′, 𝑑′, 𝑎′), 𝑇𝑏′, 𝑡), 𝑀(𝑆𝑎, 𝐵(𝑏′, 𝑐′, 𝑑′, 𝑎′), 𝑡), 𝑀(𝐴(𝑎, 𝑏, 𝑐, 𝑑), 𝑇𝑏′, 𝑡) } = 𝑚𝑖𝑛{𝑀(𝑥, 𝑦, 𝑡), 𝑀(𝑥, 𝑥, 𝑡), 𝑀(𝑦, 𝑦, 𝑡), 𝑀(𝑥, 𝑦, 𝑡), 𝑀(𝑥, 𝑦, 𝑡)} = 𝑀(𝑥, 𝑦, 𝑡) ⟹ 𝑥 = 𝑦 × 𝑋 × 𝑋 → 𝑋 if 𝑥 = 𝑓(𝑥, 𝑦, 𝑧, 𝑡), 𝑦 = 𝑓(𝑦, 𝑧, 𝑡, 𝑥), 𝑧 = 𝑓(𝑧, 𝑡, 𝑥, 𝑦), 𝑡 = 𝑓(𝑡, 𝑥, 𝑦, 𝑧).	cache/cana-5350.pdf	txt/cana-5350.txt