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

Xing Hui GAO; Hai Yun ZHOU

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

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摘要

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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来源
《数学研究与评论》 |2011年第5期|905-914|共10页
作者
Xing Hui GAO; Hai Yun ZHOU;
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作者单位

College of Mathematics and Computer Science;

Yan'an University;

Shaanxi 716000;

P. R. China;

Department of Basic Courses;

Shijiazhuang Mechanical Engineering College;

Hebei 050003;

P. R. China;

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原文格式 PDF
正文语种 chi
中图分类非线性泛函分析;
关键词
strong convergence; a family of quasi-φ-strict asymptotically pseudo-contractions; generalized projection; shrinking projection method; Banach spaces.;

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2. Strong Convergence for a Countable Family of Total Quasi-ϕ-asymptotically Nonexpansive Nonself Mappings in Banach Space [J] . Wang Xiong-rui ,Quan Jing ,Ji You-qing . 数学研究通讯 . 2015,第001期
3. Hybrid Extragradient-Type Methods for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudo-Contraction Mappings [J] . Pham Ngoc Anh ,Tran Dinh Quoc ,Dang Xuan Son . 应用数学（英文） . 2012,第10期
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Shrinking Projection Methods for a Family of Quasi-φ-Strict Asymptotically Pseudo-Contractions in Banach Spaces

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