An example on the Mann iteration method for Lipschitz pseudocontractions

作者： C. E. Chidume , S. A. Mutangadura

DOI: 10.1090/S0002-9939-01-06009-9

关键词: Lipschitz continuity 、 Mann iteration 、 Discrete mathematics 、 Open problem 、 Mathematics 、 Fixed point 、 Sequence

摘要: An example of a Lipschitz pseudocontractive map with unique fixed point is constructed for which the Mann iteration sequence fails to converge. This resolves long standing open problem.

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