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
Publication date:
9.12.2009.
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