Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space
We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves. As applications of our main theorems, we obt...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337500000312 |
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| _version_ | 1832557061851840512 |
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| author | Gang Li Jong Kyu Kim |
| author_facet | Gang Li Jong Kyu Kim |
| author_sort | Gang Li |
| collection | DOAJ |
| description | We introduce the notion of asymptotically almost nonexpansive
curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves. As applications of our main theorems, we obtain the results on the asymptotic behavior and ergodicity for a commutative semigroup of non-Lipschitzian mappings with nonconvex domains in a Hilbert space. |
| format | Article |
| id | doaj-art-d8d6eca76c7e48089b1ff083bb38424d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d8d6eca76c7e48089b1ff083bb38424d2025-02-03T05:43:44ZengWileyAbstract and Applied Analysis1085-33751687-04092000-01-015314715810.1155/S1085337500000312Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert spaceGang Li0Jong Kyu Kim1Department of Mathematics, Yangzhou University, Yangzhou 225002, ChinaDepartment of Mathematics, Kyungnam University, Masan, Kyungnam 631-701, KoreaWe introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves. As applications of our main theorems, we obtain the results on the asymptotic behavior and ergodicity for a commutative semigroup of non-Lipschitzian mappings with nonconvex domains in a Hilbert space.http://dx.doi.org/10.1155/S1085337500000312 |
| spellingShingle | Gang Li Jong Kyu Kim Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space Abstract and Applied Analysis |
| title | Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space |
| title_full | Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space |
| title_fullStr | Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space |
| title_full_unstemmed | Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space |
| title_short | Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space |
| title_sort | nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a hilbert space |
| url | http://dx.doi.org/10.1155/S1085337500000312 |
| work_keys_str_mv | AT gangli nonlinearergodictheoremsforasymptoticallyalmostnonexpansivecurvesinahilbertspace AT jongkyukim nonlinearergodictheoremsforasymptoticallyalmostnonexpansivecurvesinahilbertspace |