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Strong Convergence Theorems for Asymptotically Strictly Pseudocontractive Maps in Hilbert Spaces

Strong Convergence Theorems for Asymptotically Strictly Pseudocontractive Maps in Hilbert Spaces
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摘要 The Mann iterations have no strong convergence even for nonexpansive mappings in Hilbert spaces.The aim of this paper is to propose a modification of the Mann iterations for strictly asymptotically pseudocontractive maps in Hilbert spaces to have strong convergence.Our results extend those of Kim,Xu[4],Nakajo,Takahashi[3] and many others. The Mann iterations have no strong convergence even for nonexpansive mappings in Hilbert spaces. The aim of this paper is to propose a modification of the Mann iterations for strictly asymptotically pseudocontractive maps in Hilbert spaces to have strong convergence. Our results extend those of Kim, Xu, Nakajo, Takahashi and many others.
作者 QIN Xiao Long WU Chang Qun SHANG Mei Juan
机构地区 Department of Mathematics School of Business and Administration Department of Mathematics
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第1期43-51,共9页 数学研究与评论（英文版）
基金 Research Foundation of Henan University (No.06YBZR034)
关键词 非线性 泛函分析 空间理论 向量空间 nonexpansive mappings strictly pseudocontractive mappings Hilbert spaces projection.
分类号 O177.91 [理学—基础数学]
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参考文献16

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Journal of Mathematical Research and Exposition
2009年 第1期

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