Strong convergence theorems for common solutions of a family of nonexpansive mappings and an accretive operator

被引：2
作者：
Cheng, Peng [1 ]
Wu, Huilian [2 ]
机构：
[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China
[2] Hebei Univ Engn, Coll Sci, Handan 056038, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
accretive operator; iterative scheme; fixed point; nonexpansive mapping; strong convergence; FIXED-POINT PROBLEMS; HYBRID PROJECTION METHODS; EQUILIBRIUM PROBLEMS; VARIATIONAL-INEQUALITIES; ITERATIVE PROCESS; APPROXIMATION; SEMIGROUPS;
D O I：
10.1186/1687-1812-2013-172
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, common solutions of a family of nonexpansive mappings and an accretive operator are investigated based on a viscosity iterative method. Strong convergence theorems for common solutions are established in a Banach space. MSC: 47H09, 47J05.
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页数：14
相关论文
共 40 条
[31]   STRONG-CONVERGENCE THEOREMS FOR RESOLVENTS OF ACCRETIVE-OPERATORS IN BANACH-SPACES [J].
REICH, S .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (01) :287-292
[32]  
Saini RK, 2012, ADV FIXED POINT THEO, V2, P326
[33]  
Sezan M I., 1987, Image Recovery: Theory Appl, P155
[34]  
Shen J., 2012, Commun. Optim. Theory, V1, P1
[35]   Strong convergence to common fixed points of infinite nonexpansive mappings and applications [J].
Shimoji, K ;
Takahashi, W .
TAIWANESE JOURNAL OF MATHEMATICS, 2001, 5 (02) :387-404
[36]   Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals [J].
Suzuki, T .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 305 (01) :227-239
[37]   Convergence theorems for nonexpansive mappings and feasibility problems [J].
Takahashi, W ;
Shimoji, K .
MATHEMATICAL AND COMPUTER MODELLING, 2000, 32 (11-13) :1463-1471
[38]  
Tanaka Y, 2012, ADV FIXED POINT THEO, V2, P398
[39]   Strong convergence of an iterative method for nonexpansive and accretive operators [J].
Xu, HK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) :631-643
[40]  
Zegeye H, 2012, ADV FIXED POINT THEO, V2, P374
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