Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces
We establish theorems of strong convergence, for the Ishikawa-type (or two step; cf. Ishikawa, 1974) iteration scheme, to a fixed point of a uniformly L-Lipschitzian asymptotically demicontractive mapping and a uniformly L-Lipschitzian hemicontractive mapping in CAT(0) space. Moreover, we will propo...
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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/10.1155/2013/381715 |
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| _version_ | 1832564249667305472 |
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| author | Kyung Soo Kim |
| author_facet | Kyung Soo Kim |
| author_sort | Kyung Soo Kim |
| collection | DOAJ |
| description | We establish theorems of strong convergence, for the Ishikawa-type (or two step; cf. Ishikawa, 1974) iteration scheme, to a fixed point of a uniformly L-Lipschitzian asymptotically demicontractive mapping and a uniformly L-Lipschitzian hemicontractive mapping in CAT(0) space. Moreover, we will propose some open problems. |
| format | Article |
| id | doaj-art-2869c74344a24fc2a0b5b49328bf4019 |
| 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-2869c74344a24fc2a0b5b49328bf40192025-02-03T01:11:21ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/381715381715Some Convergence Theorems for Contractive Type Mappings in CAT(0) SpacesKyung Soo Kim0Graduate School of Education, Mathematics Education, Kyungnam University, Changwon, Kyungnam 631-701, Republic of KoreaWe establish theorems of strong convergence, for the Ishikawa-type (or two step; cf. Ishikawa, 1974) iteration scheme, to a fixed point of a uniformly L-Lipschitzian asymptotically demicontractive mapping and a uniformly L-Lipschitzian hemicontractive mapping in CAT(0) space. Moreover, we will propose some open problems.http://dx.doi.org/10.1155/2013/381715 |
| spellingShingle | Kyung Soo Kim Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces Abstract and Applied Analysis |
| title | Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces |
| title_full | Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces |
| title_fullStr | Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces |
| title_full_unstemmed | Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces |
| title_short | Some Convergence Theorems for Contractive Type Mappings in CAT(0) Spaces |
| title_sort | some convergence theorems for contractive type mappings in cat 0 spaces |
| url | http://dx.doi.org/10.1155/2013/381715 |
| work_keys_str_mv | AT kyungsookim someconvergencetheoremsforcontractivetypemappingsincat0spaces |