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Approximation of solutions of nonlinear equations of Hammerstein type in Hilbert space |
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| Authors: | C E Chidume H Zegeye |
| Institution: | The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy ; The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy |
| 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  . |
| Keywords: | Hilbert spaces maximal monotone mappings monotone mappings range condition |
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