%0 Journal Article
%T Hybrid Method with Perturbation for Lipschitzian Pseudocontractions
%A Lu-Chuan Ceng
%A Ching-Feng Wen
%J Journal of Applied Mathematics
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/250538
%X Assume that F is a nonlinear operator which is Lipschitzian and strongly monotone on a nonempty closed convex subset C of a real Hilbert space H. Assume also that ¦¸ is the intersection of the fixed point sets of a finite number of Lipschitzian pseudocontractive self-mappings on C. By combining hybrid steepest-descent method, Mann’s iteration method and projection method, we devise a hybrid iterative algorithm with perturbation F, which generates two sequences from an arbitrary initial point 0¡Ê. These two sequences are shown to converge in norm to the same point ¦¸0 under very mild assumptions.
%U http://www.hindawi.com/journals/jam/2012/250538/