A New Hybrid Extragradient Iterative Method for Approximating the Common Solutions of a System of Variational Inequalities, a Mixed Equilibrium Problem, and a Hierarchical Fixed Point Problem

被引:0
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作者
Bnouhachem, Abdellah [1 ,2 ]
Hamdi, Abdelouahed [3 ]
机构
[1] Nanjing Univ, Sch Management Sci & Engn, Nanjing 210093, Jiangsu, Peoples R China
[2] Ibn Zohr Univ, ENSA, Agadir, Morocco
[3] Qatar Univ, Coll Arts & Sci, Dept Math Stat & Phys, Doha, Qatar
关键词
STRICT PSEUDO-CONTRACTIONS; CONVERGENCE THEOREMS; GENERALIZED SYSTEM; PROJECTION METHODS; ALGORITHMS;
D O I
10.1155/2013/737590
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We suggest and analyze an iterative scheme for finding the approximate element of the common set of solutions of a system of variational inequalities, a mixed equilibrium problem, and a hierarchical fixed point problem in a real Hilbert space. Strong convergence of the proposed method is proved under some conditions. The results presented in this paper extend and improve some well-known results in the literature.
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页数:19
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