Shrinking Projection Methods for a Family of Quasi-φ-Strict Asymptotically Pseudo-Contractions in Banach Spaces

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Xing Hui GAO Hai Yun ZHOU College of Mathematics and Computer Science Yanan University Shaanxi P R China Department of Basic Courses Shijiazhuang Mechanical Engineering College Hebei P R China [1 ,2 ,1 ,716000 ,2 ,50003 ]
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O177.91 [非线性泛函分析];
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The purpose of this article is to propose a shrinking projection method and prove a strong convergence theorem for a family of quasi-φ-strict asymptotically pseudo-contractions. Its results hold in reflexive, strictly convex, smooth Banach spaces with the property (K). The results of this paper improve and extend the results of Matsushita and Takahashi, Marino and Xu, Zhou and Gao and others.
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页码:905 / 914
页数:10
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