Two new extragradient methods for solving equilibrium problems

被引：17

作者：

Rehman, Habib Ur ^{[1
]}

Gibali, Aviv ^{[2
,3
]}

Kumam, Poom ^{[1
,4
,5
]}

Sitthithakerngkiet, Kanokwan ^{[6
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Fixed Point Res Lab,Fixed Point Theory & Applicat, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[2] ORT Braude Coll, Dept Math, Karmiel 2161002, Israel

[3] Ctr Math & Sci Computat, Haifa, Israel

[4] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[6] King Mongkuts Univ Technol North Bangkok KMUTNB, Fac Sci Appl, Intelligent & Nonlinear Dynam Innovat Res Ctr, Dept Math, Bangkok, Thailand

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2021年 / 115卷 / 02期

关键词：

Strong convergence; Lipschitz-type constants; Equilibrium problem; Variational inequalities; Fixed point problems; PROXIMAL POINT METHOD; REGULARIZATION; CONVERGENCE; ALGORITHMS;

D O I：

10.1007/s13398-021-01017-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we are concern with the classical equilibrium problem in real Hilbert spaces and introduce two new extragradient variants for it. By taking into account several fixed point theory techniques, we obtain simple structure methods that converge strongly and hence demonstrate the theoretical advantage of our methods. Moreover, our convergence assumptions are weaker than those assumed in related works in the literature. Primary numerical examples with comparisons illustrate the behaviour of our proposed scheme and show its advantages.

引用

页数：25

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