On the Equivalence of Implicit Kirk-Type Fixed Point Iteration Schemes for a General Class of Maps

• 作者: Alfred Olufemi Bosede Ashiribo Senapon Wusu Hudson Akewe Omolara Fatimah Bakre
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: IMPLICIT Kirk-Multistep IMPLICIT Kirk-Mann ITERATIONS Strong Convergence EQUIVALENCE GENERAL CLASS of MAPS
• 年，卷（期）: 2019,（1）
• 页码范围: 123-137
• 页数: 15页
• 分类号: O1

摘要

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.