Recurrent Inequalities and Some of their Applications to Picard and Mann Iterations
oraz
11 gru 2014
O artykule
Data publikacji: 11 gru 2014
Zakres stron: 3 - 16
Otrzymano: 16 cze 2014
Przyjęty: 30 lip 2014
DOI: https://doi.org/10.2478/awutm-2014-0001
Słowa kluczowe
© 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.