An example on the Mann iteration method for Lipschitz pseudocontractions

Chidume, C.; Mutangadura, S.

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

An example on the Mann iteration method for Lipschitz pseudocontractions
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by C. E. Chidume and S. A. Mutangadura PDF

Proc. Amer. Math. Soc. 129 (2001), 2359-2363 Request permission

Abstract:

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

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