A NEW ITERATIVE ALGORITHM FOR SOLVING A SYSTEM OF GENERALIZED EQUILIBRIUM PROBLEMS

被引：3

作者：

Abkar, A. ^{[1
]}

Shekarbaigi, M. ^{[1
]}

Aghamohammadi, N. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Pure Math, Fac Sci, Qazvin 34149, Iran

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2018年

关键词：

Iterative algorithm; Generalized equilibrium problem; Variational inequality; Nonexpansive mapping; Strongly monotone operator;

D O I：

10.23952/jnfa.2018.46

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, under the framework of real Hilbert spaces, we introduce a new iterative algorithm for finding a common element in the solution set of a generalized equilibrium problem and in the fixed-point sets of a family of nonexpansive mappings. We obtain strong convergence theorems of the common solution problem. An example is provided to support the convergence analysis.

引用

页数：18

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