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Volume 4, Issue 5, Article 92 |
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Iterative Solution of Nonlinear Equations of Hammerstein Type
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Authors: |
H. Zegeye, |
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Keywords:
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Accretive operators, Uniformly smooth spaces, Duality maps. |
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Date Received:
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10/08/03 |
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Date Accepted:
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05/09/03 |
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Subject Codes: |
47H04,47H06,47H30,47J05,47J25.
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Editors: |
Ram U. Verma, |
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Abstract: |
Suppose  is a real Banach space and  are accretive
maps. Under different continuity assumptions on  and  such that the inclusion  has a solution, iterative methods are constructed which converge strongly to such a solution. No invertibility assumption is imposed on and the operators and need not be defined on compact
subsets of . Our method of proof is of independent interest.
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