| ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS |
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| 作者姓名： | 张石生 |
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| 作者单位： | Department of |
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| 基金项目： | 宜宾大学校科研和教改项目 |
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| 摘 要： | The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results.
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| 关 键 词： | 非扩张映射序列 粘性逼近 公共固定点 规格对偶映射 |
| 收稿时间： | 2004-12-03 |
| 修稿时间： | 2006-04-03 |
On problem of nearest common fixed point of nonexpansive mappings |
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| Shi-sheng Zhang.ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS[J].Applied Mathematics and Mechanics(English Edition),2006,27(7):883-889. |
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| Authors: | Shi-sheng Zhang |
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| Institution: | Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China;Department of Mathematics, Sichuan University, Chengdu 610064,Sichuan Province, P. R. China |
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| Abstract: | The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results. |
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| Keywords: | sequence of nonexpansive mappings viscosity approximation common fixed point demi-closed principle weakly sequentially continuous duality mapping normalized duality mapping |
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