| 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： | Institute of |
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| 基金项目： | The present studies were supported by the Natural Science Foundation of Zhe-jiang 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)
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 the corresponding results of 1, 2, 4-9, 11-15].
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CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS |
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| Gu Feng Institute of Applied Mathematics,Hangzhou Teacher's College. Hangzhou,Zhejiang ,China.CONVERGENCE OF IMPLICIT ITERATIVE PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS[J].Acta Mathematica Scientia,2006(Z1). |
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| Authors: | Gu Feng Institute of Applied Mathematics Hangzhou Teacher's College Hangzhou Zhejiang China |
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| Institution: | Gu Feng 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 the corresponding results of 1, 2, 4-9, 11-15]. |
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| Keywords: | Asymptotically nonexpansive mapping Xonexpansive mapping Implicit iterative sequence with errors for a finite family Common fixed point Opial condition Demi-closed principle Semi-compactness |
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