| 关于包含有限个强伪压缩映射的凸可行性问题解的迭代逼近 |
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| 引用本文： | 唐玉超,刘理蔚.关于包含有限个强伪压缩映射的凸可行性问题解的迭代逼近[J].应用泛函分析学报,2012,14(3):251-257. |
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| 作者姓名： | 唐玉超 刘理蔚 |
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| 作者单位： | 1. 南昌大学 数学系,南昌330031;西安交通大学 数学系,西安710049
2. 南昌大学 数学系,南昌,330031 |
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| 基金项目： | 国家自然科学基金，江西省自然科学基金，江西省教育厅基金 |
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| 摘 要： | 在Banach空间中,证明了多步迭代序列强收敛于有限个强伪压缩映射的公共不动点.同时,给出了有限个(强)增生算子方程公共解的强收敛定理.所得结果推广和改进了许多重要结果.
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| 关 键 词： | 多步迭代序列 公共不动点 强伪压缩映射 增生算子 |
Approximating Solutions of Convex Feasibility Problems Involving a Finite Family of Strongly Pseudocontractive Mappings |
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| TANG Yuchao
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LIU Liwei.Approximating Solutions of Convex Feasibility Problems Involving a Finite Family of Strongly Pseudocontractive Mappings[J].Acta Analysis Functionalis Applicata,2012,14(3):251-257. |
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| Authors: | TANG Yuchao LIU Liwei |
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| Institution: | TANG Yuchao LIU ,Liwei 1. Department of Mathematics, Nanchang University, Nanchang 330031, China 2. Department of Mathematics Xi＇an Jiaotong University, Xi＇an 710049, China |
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| Abstract: | The purpose of this paper is to study a strong convergence of multistep iterative sequence to a common fixed point for a finite family of strongly pseudocontractive mappings in Banach space. As a consequence, the strong convergence theorems for the multistep iterative scheme to a common solution for a finite family of （strongly） accretive operators are also obtained. Our results improve and extend many well known results appeared in the literatures. |
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| Keywords: | multistep iterative sequence common fixed point strongly pseudocontractive mapping accretive operator |
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