Abstract
Let E be a real q-uniformly smooth Banach space, which is also uniformly convex (for example, L-p or l(p) spaces, 1 < p < infinity), and C be a nonempty bounded closed convex subset of E. Let T : C -> C be a k-strictly asymptotically pseudocontractive map with a nonempty fixed point set. A hybrid algorithm is constructed to approximate fixed points of such maps. Furthermore, strong convergence of the proposed algorithm is established.