Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421246 | Applied Mathematics and Computation | 2014 | 8 Pages |
Abstract
Let H be a real Hilbert space. Let F:HâH be a bounded, coercive and maximal monotone mapping. Let K:HâH be a bounded and maximal monotone mapping. Let K and F satisfy the range condition. Suppose that uââH is a solution to Hammerstein equation u+KFu=0. We construct a new explicit iterative sequence and prove strong convergence of the sequence to a solution of the Hammerstein equation. Our iterative scheme in this paper seems far simpler than the iterative scheme used by Chidume and Ofoedu (2011) [13] and their strong assumption is dispensed with. We give some examples of our result so that it will find serious applications and be of much interest to our readers.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yekini Shehu,