id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6133	Aydi, Hassen; Hammouda, Hamdi; Mansour, Saber	A Fixed Point Result in a Double Control Metric Space Setting and a Fredholm Integral Equation	2025	18	.pdf	application/pdf	6065	379	89	At this moment, for t, r ∈ [0, 1], x, y ∈ ℧ = C([0, 1]) with x(r) ≤ y(r) for all r ∈ [0, 1], we estimate the difference |K (t, r, x(r), x(g(r)), x(τ1), x(τ2))−K (t, r, y(r), y(g(r)), y(τ1), y(τ2))| ≤ 1 256 ∣∣∣ |x(r)|(1+|x(r)|) 2+|x(r)| − |y(r)|(1+|y(r)|) 2+|y(r)| ∣∣∣+ 1 256 ∣∣∣∣ |x( r2 )|(1+|x( r2 )|)2+|x( r2 )| − |y( r2 )|(1+|y( r2 )|) 2+|y( r2 )| ∣∣∣∣ + 1 256 ∣∣∣ tr|x(0)|(1+|x(0)|) 2+|x(0)| − tr|y(0)|(1+|y(0)|) 2+|y(0)| ∣∣∣+ 1 256 ∣∣∣ tr|x(1)|(1+|x(1)|) Assume there are two distinct FPs, say x ̸= y ∈ ℧.	cache/ejpam-6133.pdf	txt/ejpam-6133.txt