id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ma-167	Mendy, Furmose; Mendy,  John T	A Modified Algorithms for New Krasnoselskii's Type for Strongly Monotone and Lipschitz Mappings	2023-06-05	11	.pdf	application/pdf	4309	357	76	Ju = ‖u‖2−p Wm,p ∑ |α≤m| (−1)|α|Dα(|Dαu|p−2Dαu) ∈ W−m,p In Lp,`p and Wm,p spaces for 1 < p < ∞ are q−uniformly smooth real Banach spaces with q, as q = min{2,p} and dq ≥ 1 (2.2) is given by dq = { 1+τq−1 (1+τ)q−1 , if 1 < p < 2; p− 1, if 2 ≤ p < ∞. (2.3)and τ(0, 1) as the unique solution of the equation (q − 2)tq−1 + (q − 1)tq−2 − 1 = 0 ∈ E, wedefine the sequences {xn} and {yn} by{ yn = xn −θnJ−1(Axn), n ≥ 1 xn+1 = yn −λnJ−1(Ayn), n ≥ 1where λn and θn are positive real number and J is the duality mapping of E. Letting (λn,θn) ∈ (0, 1), then xn and yn converges strongly to ρ∗, a unique solution of the equation Ax = 0.	cache/ma-167.pdf	txt/ma-167.txt
