Publication | Open Access
An example on the Mann iteration method for Lipschitz pseudocontractions
201
Citations
11
References
2001
Year
Numerical AnalysisUnique Fixed PointMann Iteration MethodEngineeringVariational AnalysisNumerical ComputationMann Iteration SequenceLipschitz Pseudocontractive MapApproximation MethodFunctional AnalysisApproximation TheoryConvergence Analysis
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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