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Approximation of solutions of nonlinear equations of Hammerstein type in Hilbert space
Author(s):
C.
E.
Chidume;
H.
Zegeye
Journal:
Proc. Amer. Math. Soc.
133
(2005),
851-858.
MSC (2000):
Primary 47H06, 47H15, 47H17, 47J25
Posted:
September 29, 2004
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Abstract:
Let  be a real Hilbert space. Let  ,  be bounded monotone mappings with  , where  and  are closed convex subsets of  satisfying certain conditions. Suppose the equation  has a solution in  . Then explicit iterative methods are constructed that converge strongly to such a solution. No invertibility assumption is imposed on  , and the operators  and  need not be defined on compact subsets of  .
References:
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Additional Information:
C.
E.
Chidume
Affiliation:
The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
Email:
chidume@ictp.trieste.it
H.
Zegeye
Affiliation:
The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
Email:
habz@ictp.trieste.it
DOI:
10.1090/S0002-9939-04-07568-9
PII:
S 0002-9939(04)07568-9
Keywords:
Hilbert spaces,
maximal monotone mappings,
monotone mappings,
range condition
Received by editor(s):
October 8, 2003
Received by editor(s) in revised form:
November 20, 2003
Posted:
September 29, 2004
Additional Notes:
The second author undertook this work when he was visiting the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, as a postdoctoral fellow.
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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