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Your search keyword '"Ştefan M. Şoltuz"' showing total 7 results
Start Over Author "Ştefan M. Şoltuz" Topic mann iteration
7 results on '"Ştefan M. Şoltuz"'

1. New technique for proving the equivalence of Mann and Ishikawa iterations

Author

Ştefan M. Şoltuz

Subjects
Mann iteration, Ishikawa iteration, uniformly pseudocontractive, uniformly accretive map, Mathematics, QA1-939
Abstract

We show the equivalence bewteen the convergences of Mann and Ishikawa iterations dealing with various classes of non-Lipschitzian operators.

Published
2005

5. The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map

Author

Ştefan M. Şoltuz and Billy E. Rhoades

Subjects
Mathematics::Functional Analysis, Applied Mathematics, Mathematical analysis, Asymptotically nonexpansive, Mann iteration, Banach space, Mathematics::Optimization and Control, Asymptotically pseudocontractive, Mann type iteration, Mathematics::Logic, Applied mathematics, Ishikawa type iteration, Equivalence (formal languages), Analysis, Mathematics
Abstract

The convergence of Mann iteration is equivalent to the convergence of Ishikawa iterations, when T is an asymptotically nonexpansive and asymptotically pseudocontractive map.

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6. The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps

Author

Ştefan M. Şoltuz and Billy E. Rhoades

Subjects
Discrete mathematics, Strongly successively pseudocontractive, Applied Mathematics, Modified Mann iteration, Mann iteration, Applied mathematics, Asymptotically nonexpansive in the intermediate sense, Equivalence (formal languages), Analysis, Modified Ishikawa iteration, Mathematics
Abstract

The convergence of modified Mann iteration is equivalent to the convergence of modified Ishikawa iterations, when T is an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive map.

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7. Remarks about a paper dealing with the equivalence of Mann and Ishikawa iterations

Author

Ştefan M Şoltuz

Subjects
Mann iteration, Ishikawa iteration, Mathematics, QA1-939
Abstract

We give an affirmative answer to the following question: are Mann and Ishikawa iterations equivalent under the assumptions that \(\lim_{n\rightarrow\infty }\alpha_{n}\neq0\;\) and \(\lim_{n\rightarrow\infty}\beta_{n}\neq0\)?

Published
2004

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