Original scientific paper
Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
O. Popescu
Abstract
The purpose of this paper is to introduce a new class of quasi-contractive operators and to show that the most used fixed point
iterative methods, that is, the Picard and Mann iterations, are convergent to the unique fixed point. The comparison of these methods with respect to their convergence rate is obtained.
Keywords
Picard iteration; Mann iteration; quasi-contractive operators; comparison function
Hrčak ID:
17961
URI
Publication date:
7.12.2007.
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