Fixed point approximation of Picard normal S-iteration process for generalized nonexpansive mappings in hyperbolic spaces

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• 作者：Mohammad Imdad ; Samir Dashputre
• 刊名：Mathematical Sciences
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：10
• 期：3
• 页码：131-138
• 全文大小：427 KB
• 刊物主题：Applications of Mathematics;
• 出版者：Springer Berlin Heidelberg
• ISSN：2251-7456
• 卷排序：10

文摘

In this paper, we establish strong and \(\Delta\)-convergence theorems for a relatively new iteration process generated by generalized nonexpansive mappings in uniformly convex hyperbolic spaces. The theorems presented in this paper generalizes corresponding theorems for uniformly convex normed spaces of Kadioglu and Yildirim (Approximating fixed points of nonexpansive mappings by faster iteration process, arXiv:1402.6530v1 [math.FA], 2014) and CAT(0)-spaces of Abbas et al. (J Inequal Appl 2014:212, 2014) and many others in this direction.KeywordsGeneralized nonexpansive mappingsStrong and Δ-convergenceUniformly convex hyperbolic spacesPicard normal S-iteration process