| 一族强单调映射的公共零点的强收敛定理 |
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| 引用本文： | 唐艳.一族强单调映射的公共零点的强收敛定理[J].重庆工商大学学报(自然科学版),2013,30(3):13-16. |
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| 作者姓名： | 唐艳 |
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| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
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| 基金项目： | 重庆工商大学教育教学改革研究项目，重庆市自然科学基金资助项目 |
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| 摘 要： | 在具有一致Gateaux可微范数的Banach空间中,假设任意非空有界闭凸子集都有非扩张映射的不动点的性质,讨论并在一定条件下证明了一族强单调映射的公共零点的迭代程序的强收敛定理.
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| 关 键 词： | 单调映射 不动点 零点 强收敛 |
Strong Convergence Theorems for a Common Zero Point of an Infinite Family of Strongly Monotone Mappings |
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| TANG Yan.Strong Convergence Theorems for a Common Zero Point of an Infinite Family of Strongly Monotone Mappings[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2013,30(3):13-16. |
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| Authors: | TANG Yan |
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| Institution: | TANG Yan(College of Mathematics and Statistics,Chongqing Technology and Business University, Chongqing 400067,China) |
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| Abstract: | In this paper, arbitrary non-empty bounded closed convex subset having properties of fixed point of nonexpansive mappings is assumed in a real Banach space of differential norm with consistent Gateaux. The strong convergence theorem for iterative scheme of a common zero of an infinite family of strongly monotone mappings is proposed and is proved under some suitable conditions. |
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| Keywords: | monotone mappings fixed point zero point strong convergence |
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