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

页码：773 / 788

页数：16

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