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An example on the Mann iteration method for Lipschitz pseudocontractions
Author(s):
C.
E.
Chidume;
S.
A.
Mutangadura
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2359-2363.
MSC (2000):
Primary 47H09, 47J25
Posted:
January 18, 2001
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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.
References:
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Additional Information:
C.
E.
Chidume
Affiliation:
The Abdus Salam International Centre for Theoretical Physics, 34100 Trieste, Italy
Email:
chidume@ictp.trieste.it
S.
A.
Mutangadura
Affiliation:
Department of Physics, University of Zimbabwe, Harare, Zimbabwe
DOI:
10.1090/S0002-9939-01-06009-9
PII:
S 0002-9939(01)06009-9
Received by editor(s):
December 14, 1999
Posted:
January 18, 2001
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2001,
American Mathematical Society
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