Recurrent Inequalities and Some of their Applications to Picard and Mann Iterations
e | 11 dic 2014
INFORMAZIONI SU QUESTO ARTICOLO
Pubblicato online: 11 dic 2014
Pagine: 3 - 16
Ricevuto: 16 giu 2014
Accettato: 30 lug 2014
DOI: https://doi.org/10.2478/awutm-2014-0001
Parole chiave
© Annals of West University of Timisoara - Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Two lemmas concerning the superior bound of a numerical sequence satisfying a common recurrence inequality are given. As applications, the error estimations are obtained for the Picard and Mann iterations in the case of demicontractive mappings. Additional conditions that ensure the strong convergence in the same cases can be obtained on the basis of these lemmas.