Approximating the minimum-norm fixed point of pseudocontractive mappings

被引：0
|
作者：
Zegeye, H. [1 ]
Daman, O. A. [1 ]
机构：
[1] Univ Botswana, Dept Math, Pvt Bag 00704, Gaborone, Botswana
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2015年 / 8卷 / 02期
关键词：
Monotone mappings; pseudocontractive mappings; fixed points of mappings; strong convergence;
D O I：
10.1142/S1793557115500369
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce an iterative process which converges strongly to the minimum-norm fixed point of Lipschitzian pseudocontractive mapping. As a consequence, convergence result to the minimum-norm zero of monotone mappings is proved. In addition, applications to convexly constrained linear inverse problems and convex minimization problems are included. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
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页数：13
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