THE EQUIVALENCE BETWEEN THE CONVERGENCES OF PERTURBED MANN AND ISHIKAWA ITERATIONS FOR f-STRONGLY PSEUDOCONTRACTIVE MAPS AND f-STRONGLY ACCRETIVE OPERATORS

D. I. Igbokwe (Nigeria)

Received October 18, 2007

Abstract

Let T be a f-strongly pseudocontractive map or f-strongly accretive operator, with a nonempty fixed point set. The equivalence of the convergences of the perturbed Mann and Ishikawa iteration sequences to the fixed point of T is proved.

Keywords and phrases: f-strongly pseudocontractive maps, f-strongly accretive operators, perturbed Mann iteration method, perturbed Ishikawa iteration method, fixed points.