An inertial forward-backward splitting method for solving combination of equilibrium problems and inclusion problems

被引：10

作者：

Khan, Suhel Ahmad ^{[1
]}

Cholamjiak, Watcharaporn ^{[2
]}

Kazmi, K. R. ^{[3
]}

机构：

[1] BITS Pilani, Dept Math, Dubai Campus,POB 345055, Dubai, U Arab Emirates

[2] Univ Phayao, Sch Sci, Phayao 56000, Thailand

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 05期

关键词：

Equilibrium problem; Inertial method; Inclusion problems; Nonexpansive mapping; alpha-inverse strongly monotone mapping; Fixed point problem; MAXIMAL MONOTONE-OPERATORS; WEAK-CONVERGENCE; PROXIMAL METHOD; ALGORITHM; SUM;

D O I：

10.1007/s40314-018-0684-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a weak convergence theorem for finding a common solution of combination of equilibrium problems, infinite family of nonexpansive mappings, and the modified inclusion problems using inertial forward-backward algorithm. Further, we discuss some applications of our obtained results. Furthermore, we provide some numerical results to illustrate the convergence behavior of some of our results, and compare the convergence rate between the existing projection method and the proposed inertial forward-backward algorithm.

引用

页码：6283 / 6307

页数：25

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