| CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS |
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| 作者姓名： | 谷峰 |
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| 作者单位： | 杭州师范学院应用数学所, 杭州 310036 |
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| 基金项目： | The present studies were supported by the Natural Science Foundation of Zhejiang Province (Y605191), the Natural Science Foundation of Heilongjiang Province (A0211), the Key Teacher Creating Capacity Fund of Heilongjiang
General College (1053G015), the Scientific Research Foundation from Zhejiang Province Education Committee (20051897) and the Starting Foundation of Scientific Research from Hangzhou Teacher's College. |
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| 摘 要： | The purpose of this article is to study the weak and strong convergence of implicit iteration process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this article extend and improve thecorresponding results of 1, 2, 4-9, 11-15].
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| 关 键 词： | Asymptotically nonexpansive mapping Nonexpansive mapping Implicit iterative sequence with errors for a finite family Common fixed point Opial condition Demi-closed principle Semi-compactness |
| 收稿时间： | 2005-08-15 |
CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS |
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| Gu Feng.CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS[J].Acta Mathematica Scientia,2006,26(6):1131. |
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| Authors: | Gu Feng |
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| Institution: | Institute of Applied Mathematics, Hangzhou Teacher's College, Hangzhou, Zhejiang 310036, China |
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| Abstract: | The purpose of this article is to study the weak and strong convergence of implicit iteration process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this article extend and improve thecorresponding results of 1, 2, 4-9, 11-15]. |
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| Keywords: | Asymptotically nonexpansive mappingzz Nonexpansive mappingzz Implicit iterative sequence with errors for a finite familyzz Common fixed pointzz Opial conditionzz Demi-closed principlezz Semi-compactnesszz |
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