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Abstract

We prove that Mann and Ishikawa iterations are equivalent models dealing with \(\psi\)-uniformly pseudocontractive or d-weakly contractive maps without bounded range

Authors

Stefan M. Soltuz
Tiberiu Popoviciu Institute of Numerical Analysis

B.E. Rhoades
Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, U.S.A

Keywords

\(\psi\)-uniformly pseudocontractive maps; d-weakly contractivemap;~ Mannand Ishikawa iterations

Paper coordinates

B.E. Rhoades, Ş.M. Şoltuz, The equivalence of Mann and Ishikawa iterations dealing with uniformly pseudocontractive maps without bounded range, Tamkang J. Math. 37 (3) (2006).

PDF

About this paper

Journal

Tamkang Journal of Mathematics

Publisher Name

Tamkang University Tamsui,  Taiwan, R.O.C.

Print ISSN

0049-2930

Online ISSN

2073-9826

google scholar link

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[11] B. E. Rhoades and S. M. S ̧oltuz,On the equivalence of Mann and Ishikawa iterationmethods,Int. J. Math. Math. Sci.2003(7), 451-459.
[12] B. E. Rhoades and S. M. S ̧oltuz,The equivalence of Mann and Ishikawa iteration forψuniformly pseudocontractive orψuniformly accretive maps,Int. J. Math. Math. Sci.46(2004), 2443-2452.

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