On the convergence of hybrid projection algorithms for asymptotically quasi-φ-nonexpansive mappings

被引：16
|
作者：
Qin, Xiaolong [1 ]
Huang, Shuechin [2 ]
Wang, Tianze [1 ]
机构：
[1] N China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China
[2] Dong Hwa Univ, Dept Appl Math, Hualien 97401, Taiwan
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 04期
关键词：
Asymptotically quasi-phi-nonexpansive mapping; Fixed point; Generalized projection; Quasi-phi-nonexpansive mapping; BANACH-SPACES; FIXED-POINT; NONLINEAR MAPPINGS; WEAK-CONVERGENCE; HILBERT-SPACES; THEOREMS; ITERATIONS; SEMIGROUPS; OPERATORS;
D O I：
10.1016/j.camwa.2010.12.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the Mann iteration in an infinite-dimensional Hilbert space, only weak convergence theorems are obtained even for nonexpansive mappings. The purpose of this paper is to modify the Mann iteration and prove the strong convergence theorems without any compactness assumption for asymptotically quasi-phi-nonexpansive mappings. Moreover, strong convergence theorems are also established in a uniformly smooth and strictly convex Banach space with the Kadec-Klee property. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：851 / 859
页数：9
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