Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces
This paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. We obtain the Δ-convergence results of the implicit Ishikawa iteration sequences for a family of nonexpansive mappings in CAT(0) sp...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/503198 |
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| _version_ | 1832549045168504832 |
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| author | Zhi-bin Liu Yi-shen Chen Xue-song Li Yi-bin Xiao |
| author_facet | Zhi-bin Liu Yi-shen Chen Xue-song Li Yi-bin Xiao |
| author_sort | Zhi-bin Liu |
| collection | DOAJ |
| description | This paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. We obtain the Δ-convergence results of the implicit Ishikawa iteration sequences for a family of nonexpansive mappings in CAT(0) spaces. Under certain and different conditions, we also get the strong convergence theorems of implicit Ishikawa iteration sequences for nonexpansive semigroups in the CAT(0) spaces. The results presented in this paper extend and generalize some previous results. |
| format | Article |
| id | doaj-art-85cd76ad3cb945daa778469ca54984b5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-85cd76ad3cb945daa778469ca54984b52025-02-03T06:12:17ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/503198503198Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) SpacesZhi-bin Liu0Yi-shen Chen1Xue-song Li2Yi-bin Xiao3Southwest Petroleum University, Chengdu 610500, ChinaSouthwest Petroleum University, Chengdu 610500, ChinaDepartment of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, ChinaThis paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. We obtain the Δ-convergence results of the implicit Ishikawa iteration sequences for a family of nonexpansive mappings in CAT(0) spaces. Under certain and different conditions, we also get the strong convergence theorems of implicit Ishikawa iteration sequences for nonexpansive semigroups in the CAT(0) spaces. The results presented in this paper extend and generalize some previous results.http://dx.doi.org/10.1155/2013/503198 |
| spellingShingle | Zhi-bin Liu Yi-shen Chen Xue-song Li Yi-bin Xiao Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces Abstract and Applied Analysis |
| title | Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces |
| title_full | Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces |
| title_fullStr | Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces |
| title_full_unstemmed | Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces |
| title_short | Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces |
| title_sort | implicit ishikawa approximation methods for nonexpansive semigroups in cat 0 spaces |
| url | http://dx.doi.org/10.1155/2013/503198 |
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