International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 4, Pages 46561, 6 p.
doi:10.1155/IJMMS/2006/46561

Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces

Abstract

Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume that T1+T2: K→K is a continuous and strongly pseudocontractive mapping, where T1:K→K is Lipschitz and T2:K→K has the bounded range mapping. Then the Ishikawa iterative sequence converges strongly to the unique fixed point of T1+T2.