STRONG CONVERGENCE OF AN ITERATIVE METHOD FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES

摘要

Let E be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E*, and K be a nonempty closed convex subset of E. Suppose that T is nonexpansive mapping from K into itself such that F = F(T) not equal 0. For arbitrary initial value x(0) is an element of K and fixed point u is an element of K, define iteratively a sequence{x(n)), as follows: