Author:
Yousefi Bahman,Yadegarnejad Ali,Azadi Kenary Hassan,Park Choonkil
Abstract
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference23 articles.
1. Asadi M, Soleimani H, Vaezpour SM, Rhoades BE: On T -stability of Picard iteration in cone metric spaces. Fixed Point Theory Appl. 2009., 2009: Article ID 751090
2. Yadegarnejad A, Jahedi S, Yousefi B, Vaezpour SM: Semistability of iterations in cone spaces. Fixed Point Theory Appl. 2011. 10.1186/1687-1812-2011-70
3. Turkoglu D, Abuloha M: Cone metric spaces and fixed point theorems in diametrically contractive mappings. Acta Math. Sin. Engl. Ser. 2010, 26(3):489–496. 10.1007/s10114-010-8019-5
4. Huang LG, Zhang X: Cone metric spaces and fixed point theorems of contractive mappings. J. Math. Anal. Appl. 2007, 332: 1468–1476. 10.1016/j.jmaa.2005.03.087
5. Rezapour S, Hamlbarani R: Cone metric spaces and fixed point theorems of contractive mappings. J. Math. Anal. Appl. 2008, 345: 719–724. 10.1016/j.jmaa.2008.04.049
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献