Equivalence of semistability of Picard, Mann, Krasnoselskij and Ishikawa iterations

Fixexd point theory and applications

Hassan Azadi Kenary¹  Ali Yadegarnejad²  Bahman Yousefi²  Choonkil Park³ 

[1] Department of Mathematics, Islamic Azad University, Beyza, Iran;Department of Mathematics, Payame Noor University, Tehran, Iran;Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, Korea

关键词: semistability;    Picard iteration;    Mann iteration;    Krasnoselskij iteration;    Ishikawa iteration;   

DOI  :  10.1186/1687-1812-2014-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we show that convergence of Picard, Mann, Krasnoselskij and Ishikawa iterations is equivalent in cone normed spaces. Also, we prove that semistability of these iterations is equivalent.

【 授权许可】

CC BY