Iterative Approximations of Solutions to Nonlinear Equations of Hammerstein Type

Prof. CE Chidume

International Center for Theoretical Physics
Triesty, Italy

Friday, October 25, 2002,
3:00 - 4:00 PM (Coffee at 2:30)
202 Madison Hall

Abstract

Suppose X is a real q-uniformly smooth Banach space and F, K are accretive mappings from X into X with D(K) = F(X) = X. Under various continuity assumptions on F and K such that 0 = u + KFu has a solution, iterative methods are constructed which converge strongly to such a solution. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets AX. Our method of proof is of independent interest.