Iterative solutions for zeros of accretive operators

T. Domínguez Benavides, Genaro López-Acedo, Hong‐Kun Xu · Mathematische Nachrichten · 2003

Abstract Two iterative schemes are designed to approach zeros of m–accretive operators in Banach spaces. The first one is a kind of contractive iteration process involving with the resolvent and the second one is an averaged iteration process of the identity and the resolvent. Strong convergence for the first scheme and weak convergence for the second scheme are proved. The second scheme is also shown to have superlinear rate of convergence.

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