| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4629823 | Applied Mathematics and Computation | 2013 | 9 Pages |
Abstract
Suppose H is a real Hilbert space and F,K:H→H are continuous bounded monotone maps with D(K)=D(F)=HD(K)=D(F)=H. Assume that the Hammerstein equation u+KFu=0u+KFu=0 has a solution. An explicit iteration process is proved to converge strongly to a solution of this equation. No invertibility assumption is imposed on K and the operator F is not restricted to be angle-bounded. Our theorem complements the Galerkin method of Brézis and Browder to provide methods for approximating solutions of nonlinear integral equations of Hammerstein type.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
C.E. Chidume, N. Djitté,