On the Equivalence of Implicit Kirk-Type Fixed Point Iteration Schemes for a General Class of Maps
Alfred Olufemi Bosede, Hudson Akewe, Omolara Fatimah Bakre, Ashiribo Senapon Wusu · Journal of Applied Mathematics and Physics · 2019
In this paper, a modified implicit Kirk-multistep iteration scheme and a strong convergence result for a general class of maps in a normed linear space was established.It was also shown that the convergence of this iteration scheme is equivalent to the convergency of some other implicit Kirk-type iteration (implicit Kirk-Noor, implicit Kirk-Ishikawa and implicit Kirk-Mann iterations) for the same class of maps.Some numerical examples were considered to show that the equivalence of convergence results to the fixed point is true.The results unify most equivalence results in literature.