Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces

被引:0
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作者
Jing Zhao
Songnian He
Yongfu Su
机构
[1] Civil Aviation University of China,College of Science
[2] Tianjin Polytechnic University,Department of Mathematics
关键词
Banach Space; Differential Geometry; Convergence Theorem; Nonexpansive Mapping; Strong Convergence;
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摘要
The purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of nonexpansive mapping [inline-graphic not available: see fulltext] and a finite family of nonexpansive mappings [inline-graphic not available: see fulltext], respectively, in Banach spaces and to prove weak and strong convergence theorems. The results presented in this paper improve and extend the corresponding ones of H.-K. Xu and R. Ori, 2001, Z. Opial, 1967, and others.
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