WEAK AND STRONG CONVERGENCE OF NOOR ITERATIONS FOR TWO ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS

Abstract

In this paper, we construct three-step iteration scheme for two (L-a) uniform Lipschitz asymptotically quasi-nonexpansive mappings. The new iterative scheme includes Mann, Ishikawa and Xu-Noor iteration schemes as special cases. Our results are generalizations and refinement of several known results in current literature.