id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5958	Nisse, Khadidja ; Qawaqneh, Haitham; Al-Musannef, Gawhara ; Alsamir, Habes ; Beloul, Said 	Fixed Points for Generalized Contractions in $b$-Gauge Spaces and Applications	2025	22	.pdf	application/pdf	7932	497	82	Suppose that the following condition holds ˜(C2) ∀x, y ∈ E with x ̸= y, there exists N = N(x, y) ∈ N∗ and (apx,y)Np=0 ⊂ E such that: (i) a0x,y = x, aNx,y = y, and αν(a p−1 x,y , a p x,y) ≥ 1, ∀p = 1, ..., N,∀ν ∈ N ; (ii) N∑ p=1 spdwi(ν)(a p−1 x,y , a p x,y) ≤Ms,ν(x, y) < Moreover, for all x, y, z ∈ E and for every t ∈ K ∈ K, by means of Young’s inequality, we get: |x(t)− y(t)|2 ≤ (|x(t)− z(t)|+ |z(t)− y(t)|)2 ≤ 2 ( |x(t)− z(t)|2 + |z(t)− y(t)|2 ) K. Nisse et al. / Eur.	cache/ejpam-5958.pdf	txt/ejpam-5958.txt