Recurrent Inequalities and Some of their Applications to Picard and Mann Iterations
und | 11. Dez. 2014
Über diesen Artikel
Online veröffentlicht: 11. Dez. 2014
Seitenbereich: 3 - 16
Eingereicht: 16. Juni 2014
Akzeptiert: 30. Juli 2014
DOI: https://doi.org/10.2478/awutm-2014-0001
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© Annals of West University of Timisoara - Mathematics
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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.