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Abstract
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Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 61434, 5 pages
doi:10.1155/2007/61434

Remarks of equivalence among Picard, Mann, and Ishikawa iterations in normed spaces

Zhiqun Xue

Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, China

Abstract

We show that the convergence of Picard iteration is equivalent to the convergence of Mann iteration schemes for various Zamfirescu operators. Our result extends of Soltuz (2005).