Modified Explicit Self-Adaptive Two-Step Extragradient Method for Equilibrium Programming in a Real Hilbert Space

被引：0

作者：

Pholasa, Nattawut ^{[1
]}

Pakkaranang, Nuttapol ^{[2
]}

Rehman, Habib Ur ^{[2
]}

Bantaojai, Thanatporn ^{[3
]}

Khan, Muhammad Jabir ^{[2
]}

Chaloemwiriya, Wuttikorn ^{[3
]}

机构：

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

[2] King Mongkuts Univ Technol Thonburi KMUTT, KMUTTFixed Point Res Lab, KMUTT Fixed Point Theory & Applicat Res Grp, Dept Math,Fac Sci,SCL Fixed Point Lab 802, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[3] Valaya Alongkorn Rajabhat Univ Royal Patronage VR, Fac Sci & Technol, Math English Program, 1 Moo 20 Phaholyothin Rd, Klongluang 13180, Pathumthani, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 03期

关键词：

equilibrium problem; pseudomonotone bifunction; Lipschitz-type conditions; weak convergence; variational inequality problems; FIXED-POINTS; CONVERGENCE; EXISTENCE; ALGORITHM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The primary objective of this study is to present a new self-adaptive method to solve an equilibrium problem involving pseudomonotone bifunction in real Hilbert spaces. This method could be viewed as an improvement of the paper title Extragradient algorithms extended to equilibrium problem by Tran et al. [D.Q. Tran, M.L. Dung, V.H. Nguyen, Extragradient algorithms extended to equilibrium problems, Optim. 57 (2008) 749-776]. A weak convergence theorem for the generated sequence has been proven and implemented to solve variational inequality problems. We have used different numerical examples to illustrate our well-established convergence results.

引用

页码：1343 / 1358

页数：16

共 42 条

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[J]. Computational and Applied Mathematics, 2020, 39
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