Original scientific paper

Are adaptive Mann iterations really adaptive?

Kamil S. Kazimierski ; Department of Mathematics and Computer Science, University of Bremen, 28 334 Bremen, Germany

Abstract

We show that the Adaptive Mann Iterations deserve to be named in such way. Namely, we will show that they adapt to the properties of the operator, even if the information on these properties are not known to the Mann Iteration a-priori. We will also show on an example that the Adaptive Mann Iterations perform better numerically than the usual Mann Iterations.

Keywords

adaptive Mann iterations; strongly accretive mappings; strongly pseudocontractive mappings; p-smooth Banach spaces; Banach spaces smooth of power type

Hrčak ID:

44032

URI

https://hrcak.srce.hr/44032

Publication date:

9.12.2009.

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