EQUIVALENCE OF ONE-STEP, TWO-STEP AND THREE- STEP ITERATIVE SCHEMES FOR ZAMFIRESCU OPERATOR
Hafiz Uddin · 2012
In this paper, we have shown that the convergence of one-step, two-step and three-step iterative schemes which are known as Mann, Ishikawa and Noor iterative schemes respectively is equivalent, for a special type of operator named Zamfirescu operator defined in a closed, convex subset of a Banach space. In (17) Murat Ozdemir and Sezgin Akbulut studied the equivalence of these three iterative schemes for the class of Lipschitzian operators, whereas we have studied for Zamfirescu operator. Our main results extend the results of Murat Ozdemir and Sezgin Akbulut (17) and the results of Rhoades and Soltuz (1-2).