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.
|Number of pages||13|
|Journal||Abstract and Applied Analysis|
|Publication status||Published - Mar 26 2003|
All Science Journal Classification (ASJC) codes
- Applied Mathematics