Approximating fixed points of λ-firmly nonexpansive mappings in Banach spaces
We study the convergence of the Ishikawa iteration methods to fixed points for the result of Smarzewski (1991). Our theorems also improve recent theorems due to Sharma and Sahu (1996).
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200001654 |
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| _version_ | 1832565209898680320 |
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| author | Gang-Eun Kim |
| author_facet | Gang-Eun Kim |
| author_sort | Gang-Eun Kim |
| collection | DOAJ |
| description | We study the convergence of the Ishikawa iteration methods to fixed
points for the result of Smarzewski (1991). Our theorems also
improve recent theorems due to Sharma and Sahu (1996). |
| format | Article |
| id | doaj-art-fd250654cd7d4b36b9a915d90c399f80 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fd250654cd7d4b36b9a915d90c399f802025-02-03T01:09:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124744144810.1155/S0161171200001654Approximating fixed points of λ-firmly nonexpansive mappings in Banach spacesGang-Eun Kim0Department of Applied Mathematics, Pukyong National University, Pusan 608-737, KoreaWe study the convergence of the Ishikawa iteration methods to fixed points for the result of Smarzewski (1991). Our theorems also improve recent theorems due to Sharma and Sahu (1996).http://dx.doi.org/10.1155/S0161171200001654λ-firmly nonexpansive mappingfixed pointOpial's conditionFréchet differentiable norm. |
| spellingShingle | Gang-Eun Kim Approximating fixed points of λ-firmly nonexpansive mappings in Banach spaces International Journal of Mathematics and Mathematical Sciences λ-firmly nonexpansive mapping fixed point Opial's condition Fréchet differentiable norm. |
| title | Approximating fixed points
of λ-firmly
nonexpansive mappings in Banach spaces |
| title_full | Approximating fixed points
of λ-firmly
nonexpansive mappings in Banach spaces |
| title_fullStr | Approximating fixed points
of λ-firmly
nonexpansive mappings in Banach spaces |
| title_full_unstemmed | Approximating fixed points
of λ-firmly
nonexpansive mappings in Banach spaces |
| title_short | Approximating fixed points
of λ-firmly
nonexpansive mappings in Banach spaces |
| title_sort | approximating fixed points of λ firmly nonexpansive mappings in banach spaces |
| topic | λ-firmly nonexpansive mapping fixed point Opial's condition Fréchet differentiable norm. |
| url | http://dx.doi.org/10.1155/S0161171200001654 |
| work_keys_str_mv | AT gangeunkim approximatingfixedpointsoflfirmlynonexpansivemappingsinbanachspaces |