Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems

被引:11
|
作者
Zegeye, Habtu [2 ]
Shahzad, Naseer [1 ]
Alghamdi, Mohammad Ali [1 ]
机构
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Univ Botswana, Dept Math, Gaborone, Botswana
关键词
Equilibrium problems; monotone mappings; relatively asymptotically nonexpansive mappings; relatively nonexpansive; strong convergence; variational inequality problems; ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; BANACH-SPACES; OPERATORS;
D O I
10.1186/1687-1812-2012-119
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 a common point of solution of variational inequality problem for continuous monotone mapping, solution of equilibrium problem and a common fixed point of finite family of asymptotically regular uniformly continuous relatively asymptotically nonexpansive mappings in Banach spaces. Our scheme does not involve computation of C (n+1)from C (n) for each n a parts per thousand yen 1. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators. Mathematics Subject Classification (2000): 47H05, 47H09, 47H10, 47J05, 47J25.
引用
收藏
页数:17
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