The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models dealing with a non-Lipschitzian map-Reference-Cited by-同舟云学术

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The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models dealing with a non-Lipschitzian map

Published:2005-08-01 Issue:2 Volume:34 Page:181-193
ISSN:2501-059X
Container-title:Journal of Numerical Analysis and Approximation Theory
language:
Short-container-title:J. Numer. Anal. Approx. Theory

Author:

Rhoades B. E.,Şoltuz Ştefan M.

Abstract

The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models for several classes of non-Lipschitzian operators.

Publisher

Academia Romana Filiala Cluj

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)

Link

https://ictp.acad.ro/jnaat/journal/article/download/2005-vol34-no2-art7/Rhoades-Soltuz-pdf

Reference19 articles.

1. Banach S., Sur les opérations dans les ensembles abstraits et leur applications, Fund. Math. 3, pp.133-181, 1922,https://doi.org/10.4064/fm-3-1-133-181

2. Chidume, C.E., Muntangadura, S.A., An example on the Mann iteration method for Lipschitz pseudocontractions, Proc. Amer. Math. Soc. 129, pp. 2359-2363, 2001, https://doi.org/10.1090/s0002-9939-01-06009-9

3. Chidume, C.E., Moore, C., Steepest descent method for equilibrium points of nonlinear systems with accretive operators, J. Math. Anal. Appl. 245, pp. 142-160, 2000, https://doi.org/10.1006/jmaa.2000.6744

4. Ishikawa, S., Fixed Points by a new iteration method, Proc. Amer. Math. Soc. 44, pp. 147-150, 1974, https://doi.org/10.1090/s0002-9939-1974-0336469-5

5. Kannan,R., Some results on fixed points, Bull. Calcutta Math. Soc. 60, pp. 71-76, 1968.

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