MathLAB Journal

On modified Picard

Abstract

Akewe Hudson, Olilima Joshua, Adeniran Adefemi

The purpose of this work is to introduce a new iteration called the modified Picard−S−AK hybrid iterative scheme
for approximating fixed point for Banach contractive maps. We show that our scheme converges to a unique fixed
point p at a rate faster than the recent AK iterative scheme for Banach contractive maps. Furthermore, using Java
programming language, we give some numerical examples to justify our claim. Stability and data dependence of the
proposed scheme are also explored.