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伪压缩和单调映射迭代法的强收敛定理(英文)

A Strong Convergence Theorem of Iterative Process for Pseudocontractive and Monotone Mappings
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摘要 本文在Hilbert空间中研究有限个伪压缩映射,严格伪压缩映射和单调映射产生的变分不等式的迭代算法,获得伪压缩映射不动点集和变分不等式解的公共元素的强收敛定理,扩展了许多作者的相关研究. In this paper,we introduce an iterative scheme for finding a common element of fixed points of a finite family of pseudocontractive mappings,fixed points of strictly pseudocon-tractive mappings,solutions of variational inequality problem for monotone mappings.A strong convergence theorem is established in a Hilbert space under suitable conditions.The result extends the corresponding result of many others.
作者 张丽娟 佟慧
机构地区 河北大学数学与计算机学院
出处 《应用数学》 CSCD 北大核心 2014年第3期691-698,共8页 Mathematica Applicata
基金 Supported by the NSF of Hebei Province(A2012201054) the NSF of China(11201110) the NSFY of Hebei Province(Y2012021)
关键词 伪压缩映射 非扩张映射 单调映射 变分不等式 Pseudocontractive mapping Nonexpansive mapping Monotone mapping Variational inequality
分类号 O177.91 [理学—基础数学]
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参考文献12

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