WEAK AND STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR LIPSCHITZ PSEUDO-CONTRACTIVE MAPS IN HILBERT SPACES

Let H be a real Hilbert space and K a nonempty, closed convex subset of H.Let T : K ! K
be Lipschitz pseudo-contractive map with a nonempty xed points set. We introduce a
modied Ishikawa iterative algorithm for Lipschitz pseudo-contractive maps and prove
that our new iterative algorithm converges strongly to a xed point of T in real Hilbert
space.