Reconsiderations on the equivalence of convergence between Mann and Ishikawa iterations for asymptotically pseudocontractive mappings (Q364310)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Reconsiderations on the equivalence of convergence between Mann and Ishikawa iterations for asymptotically pseudocontractive mappings |
scientific article; zbMATH DE number 6206772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reconsiderations on the equivalence of convergence between Mann and Ishikawa iterations for asymptotically pseudocontractive mappings |
scientific article; zbMATH DE number 6206772 |
Statements
Reconsiderations on the equivalence of convergence between Mann and Ishikawa iterations for asymptotically pseudocontractive mappings (English)
0 references
9 September 2013
0 references
Summary: Our aim in this paper is to illustrate that the proof of main theorem of \textit{B. E. Rhoades} and \textit{M. Şoltuz} [J. Math. Anal. Appl. 283, No. 2, 681--688 (2003; Zbl 1045.47057)] concerning the equivalence between the convergences of Ishikawa and Mann iterations for uniformly \(L\)-Lipschitzian asymptotically pseudocontractive maps is incorrect and to provide its correct version.
0 references
equivalence of convergence
0 references
equivalence between one-step and two-step iterations
0 references
Ishikawa and Mann iterations
0 references
uniformly \(L\)-Lipschitzian asymptotically pseudocontractive mappings
0 references
0 references
0 references
0.96565324
0 references
0.9603652
0 references
0.9559537
0 references
0.9443301
0 references
