Recurrent Inequalities and Some of their Applications to Picard and Mann Iterations
et
11 déc. 2014
À propos de cet article
Publié en ligne: 11 déc. 2014
Pages: 3 - 16
Reçu: 16 juin 2014
Accepté: 30 juil. 2014
DOI: https://doi.org/10.2478/awutm-2014-0001
Mots clés
© 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.