Weak and strong convergence of an iterative algorithm for Lipschitz pseudo contractive maps in Hilbert spaces
In this paper, let K be a closed convex subset of a real Hilbert space H and T: K K a Lipschitz pseudo contractive map such that F(T) 6= 0. Let {an} {bn} and {gn} be real sequences in (0,1) For x1 K, let {xn} be generated iteratively by xn+1= Pk[(1 an gn)xn+gnTyn] yn= (1 bn)xn+bnTxn,n 1. Under some mild conditions on parameters {an} {bn} {gn} we prove that our new iterative algorithm converges strongly to a fixed point of T. No compactness assumption is imposed on T and no further requirement is imposed on F(T)