Abstract
Suppose X is a real q-uniformly smooth Banach space and F,K: X - X with D(K) = F(X) = X are accretive maps. Under various continuity assumptions on F and K such that 0 = u + KFu has a solution, iterative methods which converge strongly to such a solution are constructed. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets of X. Our method of proof is of independent interest.
| Original language | English |
|---|---|
| Pages (from-to) | 353-365 |
| Number of pages | 13 |
| Journal | Abstract and Applied Analysis |
| Volume | 2003 |
| Issue number | 6 |
| Publication status | Published - Mar 26 2003 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics