Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings

被引：17
|
作者：
Zegeye, H. [1 ]
Shahzad, N. [2 ]
机构：
[1] Univ Botswana, Dept Math, Gaborone, Botswana
[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
asymptotically nonexpansive mappings; minimum-norm fixed point; nonexpansive mappings; split feasibility problem; strong convergence; STRONG-CONVERGENCE THEOREMS; BANACH-SPACES; ACCRETIVE-OPERATORS; RESOLVENTS;
D O I：
10.1186/1687-1812-2013-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce an iterative process which converges strongly to the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings. As a consequence, convergence result to a common minimum-norm fixed point of a finite family of nonexpansive mappings is proved. MSC: 47H09, 47H10, 47J05, 47J25.
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页数：12
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