id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-7013	Dinesh K; Dritan Gerbeti; Kastriot Zoto; B. Shoba; B. Shoba; Hawa Ibnouf Osman Ibnouf	Fixed Point Results in b-Fuzzy Metric Spaces with Applications to Nonlinear Fuzzy Integral Equations	2025	17	.pdf	application/pdf	6575	447	84	Since Ln+1 ∈ T (Ln) and Ln+1 → K, we obtain K ∈ T (K). Hence sn → 0 as n → ∞. In particular Ln is a Cauchy sequence with respect to d. To check this directly, for m < n, d(Lm,Ln) ≤ s n−1∑ k=m d(Lk,Lk+1) = s n−1∑ k=m sk, and since sk → 0 at a geometric rate the series ∑ sk converges, showing d(Lm,Ln) → 0 as m,n → ∞. Completeness of (X, d) yields a limit K ∈ X with Ln → K. It remains to show K ∈ T (K).	cache/ejpam-7013.pdf	txt/ejpam-7013.txt