Modified Picard-Mann hybrid iteration process for total asymptotically nonexpansive mappings
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- 作者：Balwant Singh Thakur ; Dipti Thakur ; Mihai Postolache
- 关键词：total asymptotically nonexpansive mappings ; Δ ; convergence and strong convergence theorem ; \(CAT(0)\) ; space
- 刊名：Fixed Point Theory and Applications
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：1,663 KB
- 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
- 出版者：Springer International Publishing
- ISSN：1687-1812
文摘
In this paper, using the modified hybrid Picard-Mann iteration process, we establish Δ-convergence and strong convergence theorems for total asymptotically nonexpansive mappings on a \(CAT(0)\) space. Results established in the paper extend and improve a number of results in the literature. A numerical example is also given to examine the fastness of the proposed iteration process under different control conditions and initial points.