| ASYMPTOTIC BEHAVIOR FOR COMMUTATIVE SEMIGROUPS OF ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS |
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| 作者姓名： | 曹六川 |
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| 作者单位： | Department of |
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| 基金项目： | Project supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE,P.R.C., by the Dawn Program Foundation in Shanghai, and by Shanghai Leading Academic Discipline Project Fund (T0401). |
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| 摘 要： | This article introduces the concept of commutative semigroups of almost asymptotically nonexpansive-type mappings in a Banach space X which has the Opial property and whose norm is UKK, and establishes the weak convergence theorems for almost-orbits of this class of commutative semigroups. The author improves, extends and develops some recent and earlier results.
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| 关 键 词： | 渐近性 可交换半群 映射 轨道 数学分析 |
| 收稿时间： | 2003-12-08 |
| 修稿时间： | 2004-09-14 |
ASYMPTOTIC BEHAVIOR FOR COMMUTATIVE SEMIGROUPS OF ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS |
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| Zeng Luchuan.ASYMPTOTIC BEHAVIOR FOR COMMUTATIVE SEMIGROUPS OF ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS[J].Acta Mathematica Scientia,2006,26(2):246-254. |
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| Authors: | Zeng Luchuan |
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| Abstract: | This article introduces the concept of commutative semigroups of almost asymptotically nonexpansive-type mappings in a Banach space X which has the Opial property and whose norm is UKK, and establishes the weak convergence theorems for almost-orbits of this class of commutative semigroups. The author improves, extends and develops some recent and earlier results. |
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| Keywords: | Semitopological semigroup almost asymptotically nonexpansive type mapping almost orbit asymptotic behavior |
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