APPROXIMATION METHODS FOR A COMMON MINIMUM-NORM POINT OF A SOLUTION OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES

被引：2
|
作者：
Shahzad, N. [1 ]
Zegeye, H. [2 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Univ Botswana, Dept Math, Gaborone, Botswana
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 03期
关键词：
monotone mappings; relatively nonexpansive mappings; strong convergence; variational inequality problems; STRONG-CONVERGENCE THEOREMS; RELATIVELY NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; WEAK; EQUILIBRIUM;
D O I：
10.4134/BKMS.2014.51.3.773
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 a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems improve most of the results that have been proved for this important class of nonlinear operators.
引用
收藏
页码：773 / 788
页数：16
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