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Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators. (English) Zbl 1090.47053
Author’s abstract: In the class of quasi-contractive operator satisfying Zamfirescu’s conditions, the most used fixed point iterative methods, that is the Picard, Mann and Ishikawa iterations, are all known to be convergent to the unique fixed point. In this paper, the comparison of the first two methods with respect to their convergence rate is obtained.

MSC:
47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
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