Inertial algorithms for a system of equilibrium problems and fixed point problems

被引：4

作者：

Majee, Prashanta ^{[1
]}

Nahak, Chandal ^{[1
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2019年 / 68卷 / 01期

关键词：

Nonexpansive mapping; Averaged mapping; Equilibrium problem; Fixed point problem; Inertial method; MAXIMAL MONOTONE-OPERATORS; STRICT PSEUDO-CONTRACTIONS; GENERAL ITERATIVE METHOD; CONVERGENCE THEOREMS; EXTRAGRADIENT ALGORITHM; WEAK-CONVERGENCE; PROXIMAL METHOD; APPROXIMATION;

D O I：

10.1007/s12215-018-0341-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce two new algorithms (one parallel and another sequential) with inertial effect for approximating a common solution of a system of equilibrium problems and fixed point problems. Under suitable conditions, we establish weak convergence results for the proposed algorithms. Finally, we give a numerical example to demonstrate the convergence and performance of the proposed algorithms.

引用

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页码：11 / 27

页数：17

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