Weak convergence theorem for Passty type asymptotically nonexpansive mappings
In this paper, we prove a convergence theorem for Passty type asymptotically nonexpansive mappings in a uniformly convex Banach space with Fréchet-differentiable norm.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117129922217X |
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| _version_ | 1832564228018405376 |
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| author | B. K. Sharma B. S. Thakur Y. J. Cho |
| author_facet | B. K. Sharma B. S. Thakur Y. J. Cho |
| author_sort | B. K. Sharma |
| collection | DOAJ |
| description | In this paper, we prove a convergence theorem for Passty type
asymptotically nonexpansive mappings in a uniformly convex Banach space with Fréchet-differentiable norm. |
| format | Article |
| id | doaj-art-ea91c2b8e60f4cbabe876ce640aa50e6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ea91c2b8e60f4cbabe876ce640aa50e62025-02-03T01:11:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122121722010.1155/S016117129922217XWeak convergence theorem for Passty type asymptotically nonexpansive mappingsB. K. Sharma0B. S. Thakur1Y. J. Cho2School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur 492010, IndiaSchool of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur 492010, IndiaDepartment of Mathematics, Gyeongsang National University, Chinju 660-701, KoreaIn this paper, we prove a convergence theorem for Passty type asymptotically nonexpansive mappings in a uniformly convex Banach space with Fréchet-differentiable norm.http://dx.doi.org/10.1155/S016117129922217X |
| spellingShingle | B. K. Sharma B. S. Thakur Y. J. Cho Weak convergence theorem for Passty type asymptotically nonexpansive mappings International Journal of Mathematics and Mathematical Sciences |
| title | Weak convergence theorem for Passty type asymptotically nonexpansive mappings |
| title_full | Weak convergence theorem for Passty type asymptotically nonexpansive mappings |
| title_fullStr | Weak convergence theorem for Passty type asymptotically nonexpansive mappings |
| title_full_unstemmed | Weak convergence theorem for Passty type asymptotically nonexpansive mappings |
| title_short | Weak convergence theorem for Passty type asymptotically nonexpansive mappings |
| title_sort | weak convergence theorem for passty type asymptotically nonexpansive mappings |
| url | http://dx.doi.org/10.1155/S016117129922217X |
| work_keys_str_mv | AT bksharma weakconvergencetheoremforpasstytypeasymptoticallynonexpansivemappings AT bsthakur weakconvergencetheoremforpasstytypeasymptoticallynonexpansivemappings AT yjcho weakconvergencetheoremforpasstytypeasymptoticallynonexpansivemappings |