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http://hdl.handle.net/10397/5417
Title: | Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces | Authors: | Li, XS Yip, TL |
Issue Date: | 11-Sep-2012 | Source: | Fixed point theory and applications, Sept. 2012, 2012:145 | Abstract: | In this paper, we study the convergence of implicit Mann iteration processes with bounded perturbations for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. We obtain the Δ-convergence results of implicit Mann iteration schemes with bounded perturbations for a family of nonexpansive mappings in CAT(0) spaces. Under certain and different conditions, we also get the strong convergence theorems of implicit Mann iteration schemes with bounded perturbations for nonexpansive semigroups in CAT(0) spaces. The results presented in this paper extend and enrich the existing literature. MSC: 47H05; 47H10; 47J25 |
Keywords: | Common fixed point Δ-convergence Nonexpansive semigroup CAT (0) space Implicit approximation |
Publisher: | Springer | Journal: | Fixed point theory and applications | ISSN: | 1687-1820 | EISSN: | 1687-1812 | DOI: | 10.1186/1687-1812-2012-145 | Rights: | © 2012 Li and Yip; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Appears in Collections: | Journal/Magazine Article |
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Li_Implicit_Mann_Approximation.pdf | 292.76 kB | Adobe PDF | View/Open |
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