| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841151 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 7 Pages |
Abstract
Let EE be a 22-uniformly real Banach space and F,K:E→EF,K:E→E be nonlinear-bounded accretive operators. Assume that the Hammerstein equation u+KFu=0u+KFu=0 has a solution. A new explicit iteration sequence is introduced and strong convergence of the sequence to a solution of the Hammerstein equation is proved. The operators FF and KK are not required to satisfy the so-called range condition. No invertibility assumption is imposed on the operator KK and FF is not restricted to be an angle-bounded (necessarily linear) operator.
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Authors
C.E. Chidume, E.U. Ofoedu,